Prime p₀= 2732975486882596601 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 112 2 76 2 46 2 10 2 136 2 (?)
a_n: 0 2 6 8 120 122 198 200 246 248 258 260 396 398
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: 398
Found by: amazing
db: batch=82, k=14, 4 112 76 46 10 136

SPT(16)	2732973890491693657	0 4 40 64 84 90 100 112 174 186 196 202 222 246 282 286	-1596390902944
STPT(10)	2732974059002762537	0 2 30 32 42 44 54 56 84 86	-1427879834064
SPT(16)	2732974305705475999	0 10 48 52 70 150 168 172 348 352 370 450 468 472 510 520	-1181177120602
STPT(10)	2732975086335487307	0 2 30 32 72 74 114 116 144 146	-400547109294
SPT(16)	2732975139705615461	0 20 26 42 62 90 96 122 126 152 158 186 206 222 228 248	-347176981140
SPT(16)	2732975190134704747	0 4 22 24 40 60 82 112 264 294 316 336 352 354 372 376	-296747891854
SPT(16)	2732975528623500191	0 6 30 56 62 72 132 140 162 170 230 240 246 272 296 302	41740903590
SPT(16)	2732975977447707209	0 54 74 128 194 218 228 240 248 260 270 294 360 414 434 488	490565110608
SPT(16)	2732975989109497793	0 6 74 90 104 168 180 254 270 344 356 420 434 450 518 524	502226901192
SPT(16)	2732976334794765847	0 22 46 60 84 106 130 156 160 186 210 232 256 270 294 316	847912169246
STPT(10)	2732976471608932007	0 2 30 32 42 44 54 56 84 86	984726335406