Prime p₀= 1233866652711008759 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 40 2 178 2 10 2 28 2 16 2 (?)
a_n: 0 2 18 20 60 62 240 242 252 254 282 284 300 302
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: 302
Found by: Dr Who Fan
db: batch=77, k=14, 16 40 178 10 28 16

STPT(10)	1233865734007600877	0 2 30 32 42 44 54 56 84 86	-918703407882
SPT(16)	1233866322789915029	0 14 20 42 50 74 92 102 122 132 150 174 182 204 210 224	-329921093730
SPT(16)	1233866355867237523	0 16 18 30 36 48 96 138 148 190 238 250 256 268 270 286	-296843771236
SPT(16)	1233866379090604513	0 48 106 118 184 226 228 238 246 256 258 300 366 378 436 484	-273620404246
STPT(10)	1233866576674171409	0 2 48 50 90 92 132 134 180 182	-76036837350
SPT(16)	1233866639855681731	0 28 60 78 120 196 246 258 268 280 330 406 448 466 498 526	-12855327028
SPT(16)	1233866685652624451	0 18 26 72 80 96 150 152 156 158 212 228 236 282 290 308	32941615692
STPT(10)	1233866828612786651	0 2 6 8 48 50 90 92 96 98	175901777892
SPT(16)	1233867018863363407	0 4 6 34 84 102 154 174 202 222 274 292 342 370 372 376	366152354648
TPT(14)	1233867035216176157	0 2 30 32 42 44 192 194 234 236 252 254 264 266	382505167398
TPT(14)	1233867072315431249	0 2 78 80 90 92 150 152 168 170 180 182 222 224	419604422490