Prime p₀= 1245216668573984861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 76 2 52 2 64 2 28 2 (?)
a_n: 0 2 30 32 108 110 186 188 240 242 306 308 336 338
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: 338
Found by: xii5ku
db: batch=77, k=14, 28 76 76 52 64 28

SPT(16)	1245215274705803111	0 6 68 120 132 146 170 188 210 228 252 266 278 330 392 398	-1393868181750
STPT(12)	1245215337989334389	0 2 30 32 60 62 138 140 168 170 198 200	-1330584650472
STPT(10)	1245215529405879527	0 2 12 14 42 44 72 74 84 86	-1139168105334
SPT(16)	1245215749249098763	0 10 66 94 100 108 114 120 154 160 166 174 180 208 264 274	-919324886098
SPT(16)	1245216197229854401	0 28 76 82 112 126 138 142 156 160 172 186 216 222 270 298	-471344130460
SPT(16)	1245216326084913851	0 56 60 86 96 138 140 168 188 216 218 260 270 296 300 356	-342489071010
SPT(16)	1245216710360424803	0 8 36 56 126 128 156 206 210 260 288 290 360 380 408 416	41786439942
STPT(10)	1245216731789797769	0 2 30 32 60 62 90 92 120 122	63215812908
SPT(16)	1245216913796456203	0 4 58 84 96 120 124 150 184 210 214 238 250 276 330 334	245222471342
STPT(10)	1245216982093281521	0 2 36 38 78 80 120 122 156 158	313519296660
SPT(16)	1245217230042408001	0 10 18 42 52 100 120 126 172 178 198 246 256 280 288 298	561468423140