Prime p₀= 1167352014288864629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 76 2 58 2 28 2 22 2 16 2 (?)
a_n: 0 2 30 32 108 110 168 170 198 200 222 224 240 242
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: 242
Found by: emoga
db: batch=77, k=14, 28 76 58 28 22 16

STPT(10)	1167350066738094047	0 2 12 14 42 44 72 74 84 86	-1947550770582
SPT(16)	1167350309031572741	0 60 62 98 126 152 206 248 330 372 426 452 480 516 518 578	-1705257291888
SPT(16)	1167350780986448689	0 4 78 88 114 120 124 130 138 144 148 154 180 190 264 268	-1233302415940
SPT(16)	1167351231284606783	0 44 60 90 98 108 150 156 158 164 206 216 224 254 270 314	-783004257846
SPT(16)	1167351555712624781	0 6 20 48 66 120 146 170 246 270 296 350 368 396 410 416	-458576239848
SPT(16)	1167351883072037053	0 84 96 108 130 136 186 238 276 328 378 384 406 418 430 514	-131216827576
STPT(10)	1167352121980557167	0 2 54 56 72 74 90 92 144 146	107691692538
SPT(18)	1167352223894535101	0 2 12 20 146 168 170 176 198 320 342 348 350 372 498 506 516 518	209605670472
SPT(16)	1167352234084729393	0 4 100 108 138 148 154 208 210 264 270 280 310 318 414 418	219795864764
STPT(10)	1167352308267940349	0 2 42 44 60 62 78 80 120 122	293979075720
SPT(16)	1167352332161085883	0 4 40 66 70 178 204 228 256 280 306 414 418 444 480 484	317872221254