Prime p₀= 877668315989366771 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 16 2 46 2 82 2 58 2 (?)
a_n: 0 2 6 8 60 62 78 80 126 128 210 212 270 272
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: 272
Found by: =Lupus=
db: batch=73, k=14, 4 52 16 46 82 58

SPT(16)	877667210214449299	0 12 58 78 82 88 120 154 198 232 264 270 274 294 340 352	-1105774917472
SPT(16)	877667460737942401	0 10 18 52 88 112 120 130 150 160 168 192 228 262 270 280	-855251424370
SPT(16)	877667563152633283	0 6 64 76 88 90 108 120 184 196 214 216 228 240 298 304	-752836733488
STPT(10)	877667636340779699	0 2 18 20 30 32 42 44 60 62	-679648587072
STPT(10)	877667740812131909	0 2 12 14 90 92 168 170 180 182	-575177234862
STPT(10)	877668314712036467	0 2 42 44 72 74 102 104 144 146	-1277330304
STPT(10)	877668520900803209	0 2 42 44 90 92 138 140 180 182	204911436438
STPT(10)	877668739131588797	0 2 30 32 42 44 54 56 84 86	423142222026
STPT(10)	877668758034242789	0 2 18 20 30 32 42 44 60 62	442044876018
TPT(14)	877668768050734349	0 2 18 20 132 134 312 314 420 422 468 470 510 512	452061367578
SPT(16)	877668989036242219	0 4 12 24 48 64 82 84 88 90 108 124 148 160 168 172	673046875448