Prime p₀= 819831349615789037 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 112 2 28 2 76 2 10 2 16 2 (?)
a_n: 0 2 60 62 174 176 204 206 282 284 294 296 312 314
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: marsinph
db: batch=73, k=14, 58 112 28 76 10 16

SPT(16)	819829734979329077	0 20 42 66 110 146 150 176 210 236 240 276 320 344 366 386	-1614636459960
SPT(16)	819830077601323973	0 20 44 104 126 134 158 170 204 216 240 248 270 330 354 374	-1272014465064
STPT(10)	819830409979516841	0 2 6 8 48 50 90 92 96 98	-939636272196
SPT(16)	819830812785124079	0 2 24 32 80 92 108 114 128 134 150 162 210 218 240 242	-536830664958
SPT(16)	819831092909875001	0 20 98 116 138 158 182 230 258 306 330 350 372 390 468 488	-256705914036
SPT(16)	819831095237883077	0 12 24 26 42 126 152 216 230 294 320 404 420 422 434 446	-254377905960
STPT(10)	819831441897027797	0 2 30 32 42 44 54 56 84 86	92281238760
SPT(16)	819831753706465177	0 12 42 52 54 90 142 216 220 294 346 382 384 394 424 436	404090676140
SPT(16)	819831824008503127	0 6 22 84 90 126 132 136 150 154 160 196 202 264 280 286	474392714090
SPT(16)	819832120555341899	0 62 110 152 174 192 200 224 228 252 260 278 300 342 390 452	770939552862
SPT(16)	819832387597406633	0 8 30 60 80 84 114 128 246 260 290 294 314 344 366 374	1037981617596