Prime p₀= 968950148247573311 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 64 2 10 2 40 2 16 2 10 2 4 2 (?)
a_n: 0 2 66 68 78 80 120 122 138 140 150 152 156 158
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: 158
Found by: Theadalus
db: batch=76, k=14, 64 10 40 16 10 4

SPT(16)	968948857067300927	0 74 102 126 132 140 152 206 210 264 276 284 290 314 342 416	-1291180272384
SPT(16)	968949033110722751	0 48 50 66 68 80 86 90 128 132 138 150 152 168 170 218	-1115136850560
STPT(10)	968949194450802737	0 2 12 14 72 74 132 134 144 146	-953796770574
SPT(16)	968949630997803811	0 6 28 46 58 90 100 108 178 186 196 228 240 258 280 286	-517249769500
SPT(16)	968949680167773893	0 36 44 54 68 78 114 116 138 140 176 186 200 210 218 254	-468079799418
TPT(14)	968950076720037227	0 2 12 14 30 32 90 92 102 104 264 266 312 314	-71527536084
SPT(16)	968950205790795233	0 14 56 78 98 150 158 168 176 186 194 246 266 288 330 344	57543221922
STPT(10)	968950284204981497	0 2 42 44 72 74 102 104 144 146	135957408186
SPT(16)	968950523995710259	0 22 48 70 82 160 178 204 208 234 252 330 342 364 390 412	375748136948
STPT(10)	968950577186462987	0 2 30 32 42 44 54 56 84 86	428938889676
STPT(10)	968950629614540381	0 2 6 8 48 50 90 92 96 98	481366967070