Prime p₀= 1245398040823326779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 52 2 28 2 46 2 46 2 112 2 (?)
a_n: 0 2 48 50 102 104 132 134 180 182 228 230 342 344
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: 344
Found by: Theadalus
db: batch=77, k=14, 46 52 28 46 46 112

SPT(16)	1245397112082860101	0 16 30 46 70 82 106 112 156 162 186 198 222 238 252 268	-928740466678
SPT(16)	1245397199694536509	0 34 52 84 88 234 244 252 280 288 298 444 448 480 498 532	-841128790270
TPT(14)	1245397292821682969	0 2 12 14 42 44 48 50 132 134 138 140 192 194	-748001643810
STPT(10)	1245397391123915801	0 2 30 32 78 80 126 128 156 158	-649699410978
STPT(10)	1245397766264288981	0 2 36 38 78 80 120 122 156 158	-274559037798
SPT(16)	1245397994446034899	0 40 78 120 148 172 208 222 238 252 288 312 340 382 420 460	-46377291880
STPT(10)	1245398556453860717	0 2 30 32 42 44 54 56 84 86	515630533938
STPT(10)	1245398621185882307	0 2 42 44 72 74 102 104 144 146	580362555528
STPT(10)	1245399220524838991	0 2 78 80 108 110 138 140 216 218	1179701512212
SPT(16)	1245399302644099543	0 28 48 54 94 118 150 160 198 208 240 264 304 310 330 358	1261820772764
STPT(10)	1245399359512141187	0 2 54 56 72 74 90 92 144 146	1318688814408