Prime p₀= 2003541752929558757 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 58 2 64 2 28 2 28 2 (?)
a_n: 0 2 24 26 54 56 114 116 180 182 210 212 240 242
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: Dingo
db: batch=80, k=14, 22 28 58 64 28 28

STPT(10)	2003540438539733537	0 2 54 56 132 134 210 212 264 266	-1314389825220
SPT(16)	2003540441361526801	0 16 18 28 42 70 82 108 160 186 198 226 240 250 252 268	-1311568031956
TPT(14)	2003540627394790619	0 2 48 50 78 80 102 104 120 122 282 284 300 302	-1125534768138
SPT(18)	2003541074806015649	0 2 50 60 62 120 134 144 164 210 230 240 254 312 314 324 372 374	-678123543108
SPT(16)	2003541237444713077	0 30 34 112 114 160 192 294 352 454 486 532 534 612 616 646	-515484845680
STPT(10)	2003541529960914701	0 2 6 8 18 20 30 32 36 38	-222968644056
SPT(16)	2003542063270043291	0 6 30 36 90 102 168 188 240 260 326 338 392 398 422 428	310340484534
SPT(16)	2003542083255181783	0 18 28 58 94 178 198 216 238 256 276 360 396 426 436 454	330325623026
STPT(10)	2003542120565532257	0 2 60 62 72 74 84 86 144 146	367635973500
SPT(16)	2003542474259361361	0 6 16 22 42 78 100 112 126 138 160 196 216 222 232 238	721329802604
SPT(16)	2003542845753624179	0 20 92 104 120 134 140 180 182 222 228 242 258 270 342 362	1092824065422