Prime p₀= 2032097748040191539 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 106 2 82 2 64 2 82 2 28 2 (?)
a_n: 0 2 30 32 138 140 222 224 288 290 372 374 402 404
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: 404
Found by: Dingo
db: batch=80, k=14, 28 106 82 64 82 28

TPT(14)	2032095710330272127	0 2 30 32 72 74 102 104 162 164 204 206 294 296	-2037709919412
SPT(16)	2032096171155993197	0 14 54 80 212 222 234 236 360 362 374 384 516 542 582 596	-1576884198342
SPT(16)	2032096363830340781	0 18 36 80 102 122 128 138 140 150 156 176 198 242 260 278	-1384209850758
SPT(16)	2032096891736528369	0 30 42 60 62 128 134 140 162 168 174 240 242 260 272 302	-856303663170
TPT(14)	2032097106819531047	0 2 72 74 84 86 90 92 114 116 132 134 162 164	-641220660492
SPT(16)	2032097331688062811	0 22 40 72 76 100 106 112 216 222 228 252 256 288 306 328	-416352128728
SPT(16)	2032097802632121607	0 40 42 52 60 66 94 102 154 162 190 196 204 214 216 256	54591930068
STPT(10)	2032098474095576021	0 2 36 38 78 80 120 122 156 158	726055384482
SPT(16)	2032098547093665433	0 34 76 88 96 126 130 160 174 204 208 238 246 258 300 334	799053473894
SPT(16)	2032098651606984479	0 2 32 54 60 84 164 194 198 228 308 332 338 360 390 392	903566792940
STPT(10)	2032098689797236407	0 2 12 14 42 44 72 74 84 86	941757044868