Prime p₀= 780819536405367461 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 4 2 82 2 64 2 10 2 58 2 16 2 (?)
a_n: 0 2 6 8 90 92 156 158 168 170 228 230 246 248
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: 248
Found by: [SG]steini
db: batch=73, k=14, 4 82 64 10 58 16

SPT(16)	780818470554142549	0 84 90 102 118 132 154 168 244 258 280 294 310 322 328 412	-1065851224912
STPT(10)	780818760254237249	0 2 150 152 210 212 270 272 420 422	-776151130212
STPT(10)	780818821524051221	0 2 6 8 18 20 30 32 36 38	-714881316240
STPT(10)	780818882596514519	0 2 18 20 30 32 42 44 60 62	-653808852942
SPT(16)	780819221051778431	0 12 20 42 78 90 110 158 162 210 230 242 278 300 308 320	-315353589030
STPT(10)	780819321471027647	0 2 12 14 42 44 72 74 84 86	-214934339814
SPT(16)	780819736197807109	0 4 52 72 82 100 112 130 264 282 294 312 322 342 390 394	199792439648
SPT(16)	780819898875992707	0 40 46 84 96 102 130 142 144 156 184 190 202 240 246 286	362470625246
STPT(10)	780820018471429667	0 2 90 92 132 134 174 176 264 266	482066062206
SPT(18)	780820134880802111	0 8 72 120 128 198 200 212 228 242 258 270 272 342 350 398 462 470	598475434650
STPT(10)	780820191425510021	0 2 36 38 78 80 120 122 156 158	655020142560