Prime p₀= 1167715723120716149 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 16 2 10 2 40 2 58 2 28 2 34 2 (?)
a_n: 0 2 18 20 30 32 72 74 132 134 162 164 198 200
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: 200
Found by: xii5ku
db: batch=77, k=14, 16 10 40 58 28 34

SPT(16)	1167714774572898841	0 28 60 72 76 130 132 142 186 196 198 252 256 268 300 328	-948547817308
STPT(10)	1167714900955533737	0 2 42 44 72 74 102 104 144 146	-822165182412
SPT(16)	1167715100129974843	0 6 18 28 40 58 66 76 108 118 126 144 156 166 178 184	-622990741306
SPT(16)	1167715146094449089	0 30 62 68 120 128 198 210 230 242 312 320 372 378 410 440	-577026267060
SPT(16)	1167715228918047193	0 40 46 90 138 156 160 186 208 234 238 256 304 348 354 394	-494202668956
STPT(10)	1167715535946266267	0 2 72 74 102 104 132 134 204 206	-187174449882
STPT(12)	1167716062079417831	0 2 66 68 78 80 168 170 180 182 246 248	338958701682
SPT(16)	1167716561207175367	0 6 16 34 40 76 84 114 166 196 204 240 246 264 274 280	838086459218
SPT(16)	1167716687436624473	0 14 18 54 74 96 98 168 236 306 308 330 350 386 390 404	964315908324
STPT(10)	1167717109214448839	0 2 12 14 90 92 168 170 180 182	1386093732690
SPT(20)	1167717286824351157	0 6 30 46 52 60 72 90 126 142 144 160 196 214 226 234 240 256 280 286	1563703635008