Prime p₀= 1512467964378656861 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 34 2 118 2 28 2 22 2 34 2 22 2 (?)
a_n: 0 2 36 38 156 158 186 188 210 212 246 248 270 272
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: 272
Found by: xii5ku
db: batch=78, k=14, 34 118 28 22 34 22

SPT(16)	1512466339668229843	0 10 46 76 88 94 100 130 174 204 210 216 228 258 294 304	-1624710427018
SPT(16)	1512466518974701967	0 6 14 32 62 66 120 132 134 146 200 204 234 252 260 266	-1445403954894
TPT(14)	1512466811147678819	0 2 30 32 138 140 180 182 210 212 240 242 252 254	-1153230978042
SPT(16)	1512467420918909107	0 24 46 66 72 76 90 100 186 196 210 214 220 240 262 286	-543459747754
SPT(16)	1512467513488019059	0 12 82 112 138 154 160 208 264 312 318 334 360 390 460 472	-450890637802
SPT(16)	1512467769851579869	0 48 54 72 124 142 234 238 264 268 360 378 430 448 454 502	-194527076992
STPT(10)	1512468155601928079	0 2 18 20 60 62 102 104 120 122	191223271218
SPT(18)	1512468167029380059	0 2 42 44 74 132 134 140 162 182 204 210 212 270 300 302 342 344	202650723198
SPT(16)	1512468193432417171	0 10 42 108 130 168 172 192 256 276 280 318 340 406 438 448	229053760310
TPT(14)	1512468224369776829	0 2 78 80 108 110 180 182 210 212 240 242 282 284	259991119968
SPT(16)	1512468626130980093	0 6 60 78 108 134 146 168 206 228 240 266 296 314 368 374	661752323232