Prime p₀= 1123462767267450791 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 64 2 10 2 16 2 28 2 (?)
a_n: 0 2 18 20 30 32 96 98 108 110 126 128 156 158
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: 158
Found by: stoneageman
db: batch=76, k=14, 16 10 64 10 16 28

STPT(10)	1123461586368507311	0 2 30 32 78 80 126 128 156 158	-1180898943480
SPT(16)	1123461610886837357	0 2 14 32 42 114 146 186 230 270 302 374 384 402 414 416	-1156380613434
SPT(16)	1123461939561060703	0 10 76 94 118 196 198 214 240 256 258 336 360 378 444 454	-827706390088
SPT(16)	1123462428989610653	0 38 48 74 98 140 144 168 206 230 234 276 300 326 336 374	-338277840138
STPT(10)	1123462453235938721	0 2 6 8 48 50 90 92 96 98	-314031512070
STPT(10)	1123462609269161171	0 2 6 8 48 50 90 92 96 98	-157998289620
STPT(12)	1123462767267450791	0 2 18 20 30 32 96 98 108 110 126 128	0
STPT(10)	1123462996247746151	0 2 6 8 48 50 90 92 96 98	228980295360
SPT(16)	1123463174987928007	0 22 30 46 70 90 100 112 120 132 142 162 186 202 210 232	407720477216
SPT(16)	1123463378224426843	0 16 66 70 108 154 160 190 204 234 240 286 324 328 378 394	610956976052
SPT(16)	1123463536006458221	0 38 56 78 102 120 168 200 288 320 368 386 410 432 450 488	768739007430