Prime p₀= 1271855042972813951 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 40 2 76 2 52 2 94 2 70 2 (?)
a_n: 0 2 36 38 78 80 156 158 210 212 306 308 378 380
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: 380
Found by: stoneageman
db: batch=77, k=14, 34 40 76 52 94 70

SPT(16)	1271853784053256429	0 12 18 22 72 102 120 138 172 190 208 238 288 292 298 310	-1258919557522
SPT(16)	1271853974967828773	0 24 36 44 50 68 96 146 198 248 276 294 300 308 320 344	-1068004985178
SPT(16)	1271853993231519127	0 6 16 22 30 36 82 96 100 114 160 166 174 180 190 196	-1049741294824
STPT(10)	1271854448319224459	0 2 18 20 30 32 42 44 60 62	-594653589492
STPT(10)	1271854561909590467	0 2 12 14 72 74 132 134 144 146	-481063223484
SPT(16)	1271854604087220931	0 10 30 40 46 60 88 96 142 150 178 192 198 208 228 238	-438885593020
STPT(10)	1271855196763500491	0 2 6 8 18 20 30 32 36 38	153790686540
TPT(14)	1271855423852207069	0 2 120 122 168 170 198 200 210 212 390 392 402 404	380879393118
SPT(16)	1271855710378507567	0 34 102 106 162 190 192 210 256 274 276 304 360 364 432 466	667405693616
SPT(16)	1271855853151528973	0 38 66 84 86 108 144 146 168 170 206 228 230 248 276 314	810178715022
SPT(16)	1271855888067921469	0 4 18 42 118 124 148 190 192 234 258 264 340 364 378 382	845095107518