Prime p₀= 1814177620868581427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 262 2 28 2 16 2 106 2 58 2 28 2 (?)
a_n: 0 2 264 266 294 296 312 314 420 422 480 482 510 512
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: 512
Found by: [AF>Libristes] Davlabedave
db: batch=79, k=14, 262 28 16 106 58 28

SPT(16)	1814176239718073681	0 2 32 42 48 132 170 230 240 300 338 422 428 438 468 470	-1381150507746
SPT(16)	1814176360681244257	0 10 34 64 66 102 112 120 136 144 154 190 192 222 246 256	-1260187337170
SPT(16)	1814176434368973793	0 10 34 60 94 96 118 130 174 186 208 210 244 270 294 304	-1186499607634
SPT(16)	1814176513957268869	0 24 58 88 100 108 118 144 184 210 220 228 240 270 304 328	-1106911312558
SPT(16)	1814176961227410233	0 20 24 98 104 110 164 258 290 384 438 444 450 524 528 548	-659641171194
STPT(10)	1814177236120646741	0 2 36 38 78 80 120 122 156 158	-384747934686
TPT(14)	1814177714247409757	0 2 30 32 42 44 114 116 252 254 264 266 360 362	93378828330
STPT(10)	1814178618942122087	0 2 30 32 72 74 114 116 144 146	998073540660
STPT(10)	1814178654638273657	0 2 24 26 42 44 60 62 84 86	1033769692230
STPT(10)	1814178718365565817	0 2 42 44 72 74 102 104 144 146	1097496984390
STPT(10)	1814178876631292159	0 2 18 20 30 32 42 44 60 62	1255762710732