Prime p₀= 931446092138656931 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 88 2 208 2 34 2 28 2 70 2 70 2 (?)
a_n: 0 2 90 92 300 302 336 338 366 368 438 440 510 512
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: Theadalus
db: batch=76, k=14, 88 208 34 28 70 70

SPT(16)	931445427825321347	0 14 50 56 60 66 72 110 126 164 170 176 180 186 222 236	-664313335584
SPT(16)	931445628959274743	0 30 68 86 96 98 110 140 156 186 198 200 210 228 266 296	-463179382188
STPT(10)	931445852071426997	0 2 30 32 42 44 54 56 84 86	-240067229934
SPT(16)	931445977576914103	0 10 36 40 58 108 150 156 160 166 208 258 276 280 306 316	-114561742828
SPT(16)	931446064516559411	0 66 68 86 138 150 156 158 288 290 296 308 360 378 380 446	-27622097520
SPT(16)	931446074335195379	0 30 38 44 74 104 108 114 158 164 168 198 228 234 242 272	-17803461552
SPT(16)	931446179343910369	0 42 150 172 184 192 214 220 234 240 262 270 282 304 412 454	87205253438
SPT(16)	931446204899624129	0 78 104 114 132 140 150 162 170 182 192 200 218 228 254 332	112760967198
TPT(16)	931446237220940921	0 2 30 32 60 62 96 98 138 140 186 188 270 272 348 350	145082283990
STPT(10)	931446435286358531	0 2 78 80 138 140 198 200 276 278	343147701600
STPT(10)	931446473036664587	0 2 30 32 60 62 90 92 120 122	380898007656