Prime p₀= 1135989191269218761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 28 2 28 2 70 2 10 2 64 2 (?)
a_n: 0 2 66 68 96 98 126 128 198 200 210 212 276 278
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: 278
Found by: vinn@[CNT]
db: batch=76, k=14, 64 28 28 70 10 64

SPT(20)	1135987535257108003	0 16 30 60 64 84 88 108 136 150 184 198 226 246 250 270 274 304 318 334	-1656012110758
TPT(14)	1135987950244955261	0 2 18 20 108 110 180 182 240 242 306 308 366 368	-1241024263500
STPT(10)	1135988063238839441	0 2 36 38 78 80 120 122 156 158	-1128030379320
SPT(16)	1135988537756671609	0 10 22 24 48 64 84 90 112 118 138 154 178 180 192 202	-653512547152
TPT(14)	1135988853916523459	0 2 30 32 138 140 180 182 282 284 318 320 402 404	-337352695302
SPT(16)	1135989127675284521	0 2 36 48 86 132 150 170 288 308 326 372 410 422 456 458	-63593934240
SPT(16)	1135989529960983619	0 22 34 120 124 132 148 174 208 234 250 258 262 348 360 382	338691764858
TPT(14)	1135989736970081171	0 2 6 8 48 50 78 80 96 98 138 140 168 170	545700862410
TPT(14)	1135990483667637797	0 2 42 44 174 176 180 182 234 236 264 266 300 302	1292398419036
STPT(10)	1135990506049334231	0 2 6 8 18 20 30 32 36 38	1314780115470
SPT(16)	1135990507042268677	0 22 94 120 172 196 204 220 336 352 360 384 436 462 534 556	1315773049916