Prime p₀= 928077333553862759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 28 2 34 2 88 2 10 2 10 2 (?)
a_n: 0 2 12 14 42 44 78 80 168 170 180 182 192 194
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: 194
Found by: crashtech
db: batch=76, k=14, 10 28 34 88 10 10

SPT(16)	928076817263173003	0 6 24 54 90 118 130 178 336 384 396 424 460 490 508 514	-516290689756
STPT(10)	928076907262744607	0 2 30 32 42 44 54 56 84 86	-426291118152
SPT(16)	928076952700513079	0 24 50 128 144 158 164 188 270 294 300 314 330 408 434 458	-380853349680
SPT(16)	928077006848099267	0 60 74 84 90 102 110 162 164 216 224 236 242 252 266 326	-326705763492
SPT(16)	928077141207604499	0 12 18 24 48 68 138 140 192 194 264 284 308 314 320 332	-192346258260
STPT(10)	928077199310140049	0 2 18 20 30 32 42 44 60 62	-134243722710
SPT(16)	928077376039413101	0 6 32 50 68 80 110 120 248 258 288 300 318 336 362 368	42485550342
STPT(10)	928077402286651847	0 2 24 26 42 44 60 62 84 86	68732789088
TPT(14)	928077865876658969	0 2 42 44 90 92 162 164 168 170 180 182 192 194	532322796210
SPT(16)	928077895989353149	0 24 28 82 94 112 148 150 262 264 300 318 330 384 388 412	562435490390
SPT(16)	928077955146828601	0 16 30 40 42 76 82 112 126 156 162 196 198 208 222 238	621592965842