Prime p₀= 2987378519126773151 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 28 2 136 2 10 2 28 2 148 2 (?)
a_n: 0 2 18 20 48 50 186 188 198 200 228 230 378 380
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: [SG-FC] hl
db: batch=82, k=14, 16 28 136 10 28 148

SPT(16)	2987376033060620573	0 60 78 114 144 168 170 180 224 234 236 260 290 326 344 404	-2486066152578
SPT(16)	2987376781505913793	0 6 84 96 220 234 280 286 294 300 346 360 484 496 574 580	-1737620859358
STPT(10)	2987377295056794707	0 2 12 14 72 74 132 134 144 146	-1224069978444
TPT(14)	2987377482183786611	0 2 6 8 36 38 78 80 108 110 126 128 150 152	-1036942986540
TPT(14)	2987378289498214901	0 2 90 92 126 128 156 158 186 188 258 260 300 302	-229628558250
SPT(16)	2987378321498981093	0 6 26 38 54 74 110 146 228 264 300 320 336 348 368 374	-197627792058
STPT(10)	2987379095091650471	0 2 36 38 78 80 120 122 156 158	575964877320
SPT(16)	2987379558217148849	0 54 80 84 104 128 152 164 198 210 234 258 278 282 308 362	1039090375698
SPT(16)	2987379693447622439	0 24 30 44 68 80 128 150 182 204 252 264 288 302 308 332	1174320849288
SPT(16)	2987379781609413433	0 40 60 64 66 84 88 90 124 126 130 148 150 154 174 214	1262482640282
STPT(10)	2987379936234390857	0 2 30 32 42 44 54 56 84 86	1417107617706