Prime p₀= 775463628869485019 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 22 2 46 2 76 2 58 2 10 2 (?)
a_n: 0 2 48 50 72 74 120 122 198 200 258 260 270 272
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: 272
Found by: WyerByter
db: batch=73, k=14, 46 22 46 76 58 10

STPT(10)	775462783749300599	0 2 78 80 120 122 162 164 240 242	-845120184420
SPT(16)	775462789699774873	0 4 6 64 76 78 120 130 144 154 196 198 210 268 270 274	-839169710146
STPT(10)	775463213868497981	0 2 30 32 78 80 126 128 156 158	-415000987038
STPT(10)	775463443784512391	0 2 126 128 138 140 150 152 276 278	-185084972628
SPT(16)	775463488664877197	0 26 50 54 66 96 224 246 254 276 404 434 446 450 474 500	-140204607822
TPT(16)	775463608273844597	0 2 72 74 174 176 282 284 324 326 330 332 384 386 492 494	-20595640422
SPT(16)	775463952485377373	0 14 18 56 66 78 84 96 98 110 116 128 138 176 180 194	323615892354
STPT(10)	775464405888572297	0 2 60 62 72 74 84 86 144 146	777019087278
STPT(10)	775464470240133431	0 2 6 8 18 20 30 32 36 38	841370648412
SPT(16)	775464600072730537	0 12 40 60 102 160 162 172 204 214 216 274 316 336 364 376	971203245518
STPT(10)	775464838812928079	0 2 12 14 30 32 48 50 60 62	1209943443060