Prime p₀= 971994681792948629 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 10 2 10 2 64 2 28 2 82 2 (?)
a_n: 0 2 48 50 60 62 72 74 138 140 168 170 252 254
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: 254
Found by: Theadalus
db: batch=76, k=14, 46 10 10 64 28 82

SPT(16)	971993868817353301	0 36 90 138 142 162 166 210 238 282 286 306 310 358 412 448	-812975595328
SPT(16)	971993876564277859	0 28 34 40 42 78 120 174 208 262 304 340 342 348 354 382	-805228670770
STPT(10)	971993976233615897	0 2 42 44 72 74 102 104 144 146	-705559332732
SPT(16)	971994027061136437	0 46 54 94 114 124 150 172 204 226 252 262 282 322 330 376	-654731812192
SPT(16)	971994031594273153	0 34 48 70 124 138 148 154 174 180 190 204 258 280 294 328	-650198675476
SPT(16)	971994209194089581	0 26 42 48 56 68 80 122 156 198 210 222 230 236 252 278	-472598859048
STPT(10)	971994727491666077	0 2 84 86 132 134 180 182 264 266	45698717448
STPT(10)	971994818751918497	0 2 30 32 42 44 54 56 84 86	136958969868
SPT(16)	971995168425081929	0 30 38 78 90 134 140 150 188 198 204 248 260 300 308 338	486632133300
SPT(16)	971995501529271269	0 8 44 78 120 138 150 180 182 212 224 242 284 318 354 362	819736322640
SPT(16)	971995570170391843	0 48 84 90 114 220 258 294 310 346 384 490 514 520 556 604	888377443214