Prime p₀= 1273556339891419487 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 58 2 64 2 52 2 16 2 (?)
a_n: 0 2 24 26 54 56 114 116 180 182 234 236 252 254
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=77, k=14, 22 28 58 64 52 16

SPT(16)	1273554965244566621	0 8 108 168 182 210 302 320 390 408 500 528 542 602 702 710	-1374646852866
STPT(10)	1273555167855645527	0 2 30 32 72 74 114 116 144 146	-1172035773960
SPT(16)	1273555201578189559	0 52 64 82 94 130 138 142 150 154 162 198 210 228 240 292	-1138313229928
SPT(16)	1273555244088147281	0 18 30 32 50 60 78 86 162 170 188 198 216 218 230 248	-1095803272206
STPT(10)	1273555304806416017	0 2 12 14 42 44 72 74 84 86	-1035085003470
TPT(14)	1273555618015946141	0 2 6 8 48 50 120 122 126 128 156 158 186 188	-721875473346
SPT(16)	1273556444026272533	0 18 84 98 114 116 140 194 210 264 288 290 306 320 386 404	104134853046
STPT(10)	1273556561942384969	0 2 18 20 30 32 42 44 60 62	222050965482
STPT(10)	1273556909195321207	0 2 30 32 72 74 114 116 144 146	569303901720
STPT(10)	1273557123791026901	0 2 30 32 78 80 126 128 156 158	783899607414
SPT(16)	1273557250426547473	0 10 48 60 76 84 136 150 154 168 220 228 244 256 294 304	910535127986