Prime p₀= 1175310053127686081 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 52 2 64 2 10 2 28 2 178 2 (?)
a_n: 0 2 6 8 60 62 126 128 138 140 168 170 348 350
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: 350
Found by: stoneageman
db: batch=77, k=14, 4 52 64 10 28 178

SPT(16)	1175308964447757149	0 20 30 62 114 150 182 204 218 240 272 308 360 392 402 422	-1088679928932
STPT(10)	1175309248343650967	0 2 30 32 42 44 54 56 84 86	-804784035114
SPT(16)	1175309335460545273	0 4 10 30 36 46 70 148 156 234 258 268 274 294 300 304	-717667140808
SPT(16)	1175309560564281683	0 6 30 74 84 116 120 146 228 254 258 290 300 344 368 374	-492563404398
SPT(16)	1175309673693367997	0 36 42 44 66 80 134 210 236 312 366 380 402 404 410 446	-379434318084
STPT(10)	1175309809265871689	0 2 12 14 90 92 168 170 180 182	-243861814392
SPT(16)	1175310313997495881	0 18 22 28 30 66 72 88 90 106 112 148 150 156 160 178	260869809800
STPT(10)	1175310466474319027	0 2 30 32 72 74 114 116 144 146	413346632946
STPT(10)	1175310930568447877	0 2 12 14 42 44 72 74 84 86	877440761796
STPT(12)	1175311048874300249	0 2 18 20 30 32 60 62 72 74 90 92	995746614168
SPT(16)	1175311644305164519	0 48 54 58 72 108 112 114 178 180 184 220 234 238 244 292	1591177478438