Prime p₀= 949945232338503017 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 10 2 58 2 28 2 64 2 22 2 (?)
a_n: 0 2 12 14 24 26 84 86 114 116 180 182 204 206
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: 206
Found by: Theadalus
db: batch=76, k=14, 10 10 58 28 64 22

SPT(16)	949944016837525079	0 18 30 68 80 140 144 168 170 194 198 258 270 308 320 338	-1215500977938
SPT(16)	949944143983250753	0 50 56 68 80 134 138 164 210 236 240 294 306 318 324 374	-1088355252264
STPT(10)	949944469762390637	0 2 54 56 132 134 210 212 264 266	-762576112380
STPT(10)	949944626032670237	0 2 54 56 72 74 90 92 144 146	-606305832780
STPT(10)	949944766757647481	0 2 6 8 18 20 30 32 36 38	-465580855536
SPT(16)	949944926105091031	0 22 48 76 82 90 96 120 208 232 238 246 252 280 306 328	-306233411986
TPT(14)	949945351981875101	0 2 30 32 138 140 150 152 228 230 270 272 378 380	119643372084
SPT(16)	949945579526620253	0 20 30 48 108 150 168 194 210 236 254 296 356 374 384 404	347188117236
SPT(16)	949945620997081469	0 8 24 78 104 138 164 182 270 288 314 348 374 428 444 452	388658578452
TPT(14)	949945648795794821	0 2 60 62 156 158 186 188 210 212 240 242 330 332	416457291804
STPT(10)	949945684618490447	0 2 24 26 42 44 60 62 84 86	452279987430