Prime p₀= 756640258148696489 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 196 2 40 2 10 2 28 2 64 2 10 2 (?)
a_n: 0 2 198 200 240 242 252 254 282 284 348 350 360 362
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: 362
Found by: Dirk Broer
db: batch=73, k=14, 196 40 10 28 64 10

SPT(16)	756639194427237749	0 24 68 132 134 182 188 224 258 294 300 348 350 414 458 482	-1063721458740
SPT(16)	756639354026033111	0 12 72 86 132 140 186 270 308 392 438 446 492 506 566 578	-904122663378
SPT(16)	756639436779622489	0 10 22 52 60 112 130 168 172 210 228 280 288 318 330 340	-821369074000
SPT(16)	756639839981957369	0 14 44 60 62 74 102 110 132 140 168 180 182 198 228 242	-418166739120
SPT(16)	756639944626019369	0 80 108 114 122 152 164 198 224 258 270 300 308 314 342 422	-313522677120
STPT(10)	756639957254986487	0 2 12 14 72 74 132 134 144 146	-300893710002
SPT(16)	756640487663829479	0 14 18 44 98 110 138 144 194 200 228 240 294 320 324 338	229515132990
TPT(14)	756640674126234809	0 2 30 32 72 74 162 164 198 200 240 242 270 272	415977538320
SPT(16)	756640687510895107	0 40 42 82 120 130 162 204 232 274 306 316 354 394 396 436	429362198618
SPT(16)	756640699375879427	0 6 32 42 50 74 96 116 120 140 162 186 194 204 230 236	441227182938
STPT(10)	756641054815250567	0 2 30 32 42 44 54 56 84 86	796666554078