Prime p₀= 1672677719752712051 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 118 2 28 2 4 2 10 2 106 2 10 2 (?)
a_n: 0 2 120 122 150 152 156 158 168 170 276 278 288 290
All 14 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 290
Found by: retroactivemind
db: batch=79, k=14, 118 28 4 10 106 10

SPT(13)	1672676504334851273	0 18 30 48 66 90 108 126 150 168 186 198 216	-1215417860778
SPT(16)	1672676586399417799	0 28 48 58 88 124 154 184 228 258 288 324 354 364 384 412	-1133353294252
SPT(16)	1672677429613774823	0 84 110 128 156 204 210 218 246 254 260 308 336 354 380 464	-290138937228
SPT(20)	1672677495251257751	0 2 12 50 72 86 110 116 156 198 200 242 282 288 312 326 348 386 396 398	-224501454300
SPT(18)	1672677559694830211	0 6 8 18 90 116 176 180 216 272 308 312 372 398 470 480 482 488	-160057881840
SPT(16)	1672677694310071441	0 10 12 16 58 66 72 82 126 136 142 150 192 196 198 208	-25442640610
SPT(16)	1672677878010114439	0 22 52 70 78 118 120 154 168 202 204 244 252 270 300 322	158257402388
SPT(18)	1672678252563704753	0 8 14 48 50 56 78 104 146 168 210 236 258 264 266 300 306 314	532810992702
SPT(16)	1672678320640773451	0 46 52 82 118 168 286 298 300 312 430 480 516 546 552 598	600888061400
TPT(14)	1672678425775347899	0 2 30 32 60 62 138 140 252 254 270 272 318 320	706022635848
SPT(16)	1672678455730360259	0 2 32 54 62 68 90 102 140 152 174 180 188 210 240 242	735977648208