Prime p₀= 754017424167763487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 10 2 28 2 4 2 52 2 (?)
a_n: 0 2 12 14 42 44 54 56 84 86 90 92 144 146
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: 146
Found by: gemini8
db: batch=73, k=14, 10 28 10 28 4 52

SPT(16)	754016753607936943	0 10 18 28 40 54 90 94 204 208 244 258 270 280 288 298	-670559826544
SPT(18)	754016836346087527	0 54 64 120 132 154 174 204 232 264 292 322 342 364 376 432 442 496	-587821675960
SPT(16)	754016919166175479	0 42 52 100 112 124 132 150 184 202 210 222 234 282 292 334	-505001588008
STPT(10)	754017014483215697	0 2 30 32 42 44 54 56 84 86	-409684547790
TPT(14)	754017126975251957	0 2 30 32 54 56 72 74 252 254 264 266 270 272	-297192511530
SPT(16)	754017204238677109	0 40 64 78 154 168 198 222 250 274 304 318 394 408 432 472	-219929086378
SPT(16)	754017449790570209	0 12 24 74 102 128 188 192 230 234 294 320 348 398 410 422	25622806722
STPT(10)	754017470703338459	0 2 48 50 60 62 72 74 120 122	46535574972
SPT(16)	754017669401314391	0 2 20 42 90 108 110 120 140 150 152 170 218 240 258 260	245233550904
SPT(16)	754018218897451481	0 56 68 78 80 108 120 140 288 308 320 348 350 360 372 428	794729687994
STPT(10)	754018510891481081	0 2 36 38 78 80 120 122 156 158	1086723717594