Prime p₀= 740872380300085331 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 40 2 10 2 64 2 28 2 52 2 (?)
a_n: 0 2 6 8 48 50 60 62 126 128 156 158 210 212
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: 212
Found by: Theadalus
db: batch=73, k=14, 4 40 10 64 28 52

SPT(16)	740871348420809581	0 40 72 76 96 100 120 148 210 238 258 262 282 286 318 358	-1031879275750
SPT(16)	740871463550453017	0 34 70 72 124 154 160 210 226 276 282 312 364 366 402 436	-916749632314
SPT(16)	740871464005688707	0 4 30 42 72 84 96 124 132 160 172 184 214 226 252 256	-916294396624
SPT(16)	740871784281609949	0 24 30 94 112 138 148 184 258 294 304 330 348 412 418 442	-596018475382
STPT(10)	740871996092208509	0 2 12 14 90 92 168 170 180 182	-384207876822
SPT(16)	740872152353732857	0 6 22 34 72 76 90 96 100 106 120 124 162 174 190 196	-227946352474
SPT(16)	740872509493555303	0 28 76 100 126 168 184 190 294 300 316 358 384 408 456 484	129193469972
TPT(14)	740872775196657281	0 2 36 38 48 50 138 140 168 170 336 338 360 362	394896571950
SPT(18)	740872824688696649	0 108 120 122 200 210 222 278 302 318 342 398 410 420 498 500 512 620	444388611318
STPT(10)	740872965414725279	0 2 42 44 90 92 138 140 180 182	585114639948
STPT(10)	740873599260167081	0 2 36 38 78 80 120 122 156 158	1218960081750