Prime p₀= 2577123322414414157 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 28 2 106 2 100 2 28 2 118 2 (?)
a_n: 0 2 42 44 72 74 180 182 282 284 312 314 432 434
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: 434
Found by: RFGuy_KCCO
db: batch=82, k=14, 40 28 106 100 28 118

TPT(14)	2577121628050687181	0 2 60 62 78 80 126 128 156 158 198 200 330 332	-1694363726976
STPT(10)	2577121744593559949	0 2 30 32 60 62 90 92 120 122	-1577820854208
SPT(16)	2577122027746580999	0 14 38 80 114 132 152 170 192 210 230 248 282 324 348 362	-1294667833158
STPT(10)	2577122463030911771	0 2 66 68 108 110 150 152 216 218	-859383502386
STPT(10)	2577122995669284479	0 2 18 20 30 32 42 44 60 62	-326745129678
STPT(10)	2577123003803037659	0 2 12 14 30 32 48 50 60 62	-318611376498
SPT(16)	2577123708209893789	0 24 42 70 84 114 150 190 204 244 280 310 324 352 370 394	385795479632
SPT(16)	2577123864885173993	0 36 48 60 104 110 138 140 174 176 204 210 254 266 278 314	542470759836
SPT(16)	2577124370630061673	0 36 40 78 88 106 108 276 310 478 480 498 508 546 550 586	1048215647516
SPT(16)	2577124576593100057	0 30 66 112 150 160 172 216 220 264 276 286 324 370 406 436	1254178685900
STPT(10)	2577124590689202809	0 2 48 50 90 92 132 134 180 182	1268274788652