Prime p₀= 747549110590470257 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 40 2 4 2 40 2 88 2 58 2 (?)
a_n: 0 2 12 14 54 56 60 62 102 104 192 194 252 254
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: 254
Found by: [SG-2W]Kurzer
db: batch=73, k=14, 10 40 4 40 88 58

SPT(16)	747547761747771431	0 6 20 62 72 116 156 212 240 296 336 380 390 432 446 452	-1348842698826
STPT(10)	747547965199246241	0 2 30 32 60 62 90 92 120 122	-1145391224016
STPT(10)	747548133565634369	0 2 42 44 90 92 138 140 180 182	-977024835888
STPT(10)	747548169561464111	0 2 36 38 78 80 120 122 156 158	-941029006146
SPT(16)	747548467454438759	0 30 48 84 132 152 162 174 218 230 240 260 308 344 362 392	-643136031498
SPT(16)	747548931420555907	0 4 40 42 84 90 102 114 142 154 166 172 214 216 252 256	-179169914350
TPT(14)	747549236272034057	0 2 12 14 24 26 54 56 240 242 264 266 294 296	125681563800
STPT(10)	747549562547456687	0 2 42 44 72 74 102 104 144 146	451956986430
SPT(16)	747549644032399631	0 12 42 66 68 128 146 198 230 282 300 360 362 386 416 428	533441929374
STPT(10)	747550011355197299	0 2 18 20 30 32 42 44 60 62	900764727042
SPT(16)	747550034375226617	0 42 86 104 126 132 134 146 150 162 164 170 192 210 254 296	923784756360