Prime p₀= 1731453291341623667 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 10 2 16 2 28 2 136 2 22 2 (?)
a_n: 0 2 42 44 54 56 72 74 102 104 240 242 264 266
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: 266
Found by: CoolAtchOk
db: batch=79, k=14, 40 10 16 28 136 22

SPT(16)	1731451669451817349	0 4 40 64 78 100 112 144 208 240 252 274 288 312 348 352	-1621889806318
STPT(10)	1731451797799416359	0 2 18 20 30 32 42 44 60 62	-1493542207308
SPT(16)	1731451987659519527	0 2 12 72 114 120 176 182 204 210 266 272 314 374 384 386	-1303682104140
STPT(10)	1731452172423094577	0 2 30 32 42 44 54 56 84 86	-1118918529090
STPT(10)	1731452181238579067	0 2 30 32 72 74 114 116 144 146	-1110103044600
STPT(10)	1731453072843257549	0 2 30 32 60 62 90 92 120 122	-218498366118
SPT(16)	1731453378497579741	0 56 86 146 180 182 210 212 270 272 300 302 336 396 426 482	87155956074
SPT(16)	1731453420869914979	0 2 12 14 48 54 84 90 122 128 158 164 198 200 210 212	129528291312
SPT(16)	1731453791039489177	0 6 14 24 30 50 62 84 92 114 126 146 152 162 170 176	499697865510
SPT(16)	1731453799704000577	0 66 76 112 132 192 196 234 262 300 304 364 384 420 430 496	508362376910
STPT(10)	1731454287186222491	0 2 6 8 48 50 90 92 96 98	995844598824