Prime p₀= 2042027508426312917 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 16 2 10 2 46 2 136 2 22 2 (?)
a_n: 0 2 24 26 42 44 54 56 102 104 240 242 264 266
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: 266
Found by: Dingo
db: batch=80, k=14, 22 16 10 46 136 22

STPT(10)	2042026800108814637	0 2 24 26 42 44 60 62 84 86	-708317498280
STPT(10)	2042026954962974339	0 2 42 44 90 92 138 140 180 182	-553463338578
SPT(16)	2042027193334655431	0 10 16 46 72 130 136 142 186 192 198 256 282 312 318 328	-315091657486
SPT(16)	2042027306560912169	0 2 32 74 92 98 104 114 218 228 234 240 258 300 330 332	-201865400748
SPT(16)	2042027325017767561	0 6 12 28 40 52 96 162 166 232 276 288 300 316 322 328	-183408545356
SPT(16)	2042027443508626669	0 58 82 102 120 144 172 214 348 390 418 442 460 480 504 562	-64917686248
STPT(10)	2042027772951710189	0 2 48 50 60 62 72 74 120 122	264525397272
SPT(16)	2042028104597913403	0 10 24 28 48 66 100 156 178 234 268 286 306 310 324 334	596171600486
SPT(16)	2042028106590483941	0 66 80 90 108 182 186 212 336 362 366 440 458 468 482 548	598164171024
TPT(14)	2042028447785002991	0 2 30 32 66 68 138 140 156 158 186 188 210 212	939358690074
SPT(16)	2042028541992939623	0 6 8 30 96 116 188 210 314 336 408 428 494 516 518 524	1033566626706