Prime p₀= 976605224286099761 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 10 2 46 2 10 2 16 2 (?)
a_n: 0 2 36 38 78 80 90 92 138 140 150 152 168 170
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: 170
Found by: [SG-2W]Kurzer
db: batch=76, k=14, 34 40 10 46 10 16

SPT(16)	976604379963510931	0 12 28 78 96 112 120 166 222 268 276 292 310 360 376 388	-844322588830
SPT(16)	976604472714512261	0 32 68 78 96 102 110 120 158 168 176 182 200 210 246 278	-751571587500
SPT(18)	976604554129296467	0 20 30 86 110 116 170 194 216 224 246 270 324 330 354 410 420 440	-670156803294
SPT(16)	976604727393573191	0 2 8 26 86 156 176 188 210 222 242 312 372 390 396 398	-496892526570
SPT(16)	976604751275379209	0 20 32 44 74 78 110 128 144 162 194 198 228 240 252 272	-473010720552
STPT(10)	976605087410055287	0 2 30 32 60 62 90 92 120 122	-136876044474
STPT(10)	976605275574428411	0 2 6 8 18 20 30 32 36 38	51288328650
STPT(10)	976605355667895167	0 2 30 32 42 44 54 56 84 86	131381795406
SPT(16)	976605361832655301	0 10 42 76 126 136 160 162 346 348 372 382 432 466 498 508	137546555540
SPT(16)	976605411991555271	0 30 38 50 56 72 92 126 212 246 266 282 288 300 308 338	187705455510
SPT(16)	976605552463212809	0 18 20 60 62 90 98 102 128 132 140 168 170 210 212 230	328177113048