Prime p₀= 1953460080654976667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 58 2 28 2 10 2 16 2 88 2 (?)
a_n: 0 2 12 14 72 74 102 104 114 116 132 134 222 224
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: 224
Found by: pag
db: batch=80, k=14, 10 58 28 10 16 88

SPT(16)	1953459378859585591	0 10 36 66 70 88 112 142 156 186 210 228 232 262 288 298	-701795391076
SPT(16)	1953459475816997023	0 54 64 78 84 108 148 150 154 156 196 220 226 240 250 304	-604837979644
SPT(18)	1953459595149689369	0 12 18 72 114 158 162 168 198 224 254 260 264 308 350 404 410 422	-485505287298
STPT(10)	1953459920185852607	0 2 42 44 72 74 102 104 144 146	-160469124060
STPT(10)	1953460041362458799	0 2 18 20 30 32 42 44 60 62	-39292517868
STPT(10)	1953460051606829531	0 2 78 80 108 110 138 140 216 218	-29048147136
SPT(16)	1953460272343192409	0 54 84 122 194 210 224 240 332 348 362 378 450 488 518 572	191688215742
STPT(10)	1953460386431488601	0 2 6 8 18 20 30 32 36 38	305776511934
SPT(16)	1953460404975064987	0 30 72 94 114 150 172 180 184 192 214 250 270 292 334 364	324320088320
STPT(10)	1953461025951718487	0 2 12 14 42 44 72 74 84 86	945296741820
STPT(10)	1953461039493193187	0 2 60 62 72 74 84 86 144 146	958838216520