Prime p₀= 968950076720037227 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 16 2 58 2 10 2 160 2 46 2 (?)
a_n: 0 2 12 14 30 32 90 92 102 104 264 266 312 314
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: 314
Found by: Theadalus
db: batch=76, k=14, 10 16 58 10 160 46

SPT(16)	968948778899581217	0 2 6 50 126 162 180 260 342 422 440 476 552 596 600 602	-1297820456010
SPT(16)	968948857067300927	0 74 102 126 132 140 152 206 210 264 276 284 290 314 342 416	-1219652736300
SPT(16)	968949033110722751	0 48 50 66 68 80 86 90 128 132 138 150 152 168 170 218	-1043609314476
STPT(10)	968949194450802737	0 2 12 14 72 74 132 134 144 146	-882269234490
SPT(16)	968949630997803811	0 6 28 46 58 90 100 108 178 186 196 228 240 258 280 286	-445722233416
SPT(16)	968949680167773893	0 36 44 54 68 78 114 116 138 140 176 186 200 210 218 254	-396552263334
TPT(14)	968950148247573311	0 2 66 68 78 80 120 122 138 140 150 152 156 158	71527536084
SPT(16)	968950205790795233	0 14 56 78 98 150 158 168 176 186 194 246 266 288 330 344	129070758006
STPT(10)	968950284204981497	0 2 42 44 72 74 102 104 144 146	207484944270
SPT(16)	968950523995710259	0 22 48 70 82 160 178 204 208 234 252 330 342 364 390 412	447275673032
STPT(10)	968950577186462987	0 2 30 32 42 44 54 56 84 86	500466425760