Prime p₀= 3022271588437346237 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 28 2 136 2 40 2 16 2 58 2 (?)
a_n: 0 2 24 26 54 56 192 194 234 236 252 254 312 314
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: 314
Found by: fzs600
db: batch=82, k=14, 22 28 136 40 16 58

STPT(10)	3022269680361291299	0 2 18 20 60 62 102 104 120 122	-1908076054938
STPT(10)	3022269971861723837	0 2 42 44 72 74 102 104 144 146	-1616575622400
SPT(16)	3022270190385704939	0 2 14 24 32 44 102 104 168 170 228 240 248 258 270 272	-1398051641298
STPT(10)	3022270315018305311	0 2 36 38 78 80 120 122 156 158	-1273419040926
STPT(10)	3022270809841740167	0 2 42 44 72 74 102 104 144 146	-778595606070
STPT(10)	3022270909181961467	0 2 30 32 60 62 90 92 120 122	-679255384770
TPT(14)	3022271601472036601	0 2 6 8 48 50 78 80 120 122 186 188 198 200	13034690364
SPT(16)	3022272265011120917	0 6 42 80 116 182 204 234 242 272 294 360 396 434 470 476	676573774680
SPT(16)	3022272334755765787	0 10 64 76 82 120 126 132 154 160 166 204 210 222 276 286	746318419550
SPT(16)	3022272707163264469	0 10 78 90 132 162 168 180 232 244 250 280 322 334 402 412	1118725918232
SPT(16)	3022272861076886213	0 14 20 44 54 60 96 114 140 158 194 200 210 234 240 254	1272639539976