Prime p₀= 2215243975961174111 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 106 2 28 2 10 2 58 2 10 2 (?)
a_n: 0 2 48 50 156 158 186 188 198 200 258 260 270 272
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: Penguin
db: batch=81, k=14, 46 106 28 10 58 10

SPT(16)	2215241736882400883	0 26 38 54 60 66 86 96 128 138 158 164 170 186 198 224	-2239078773228
STPT(10)	2215241989044938339	0 2 12 14 90 92 168 170 180 182	-1986916235772
SPT(16)	2215242521451243073	0 10 34 40 96 108 124 138 196 210 226 238 294 300 324 334	-1454509931038
SPT(16)	2215243130352721771	0 30 40 60 70 106 190 220 282 312 396 432 442 462 472 502	-845608452340
STPT(10)	2215243210514970407	0 2 30 32 72 74 114 116 144 146	-765446203704
STPT(10)	2215243854026265611	0 2 6 8 48 50 90 92 96 98	-121934908500
STPT(10)	2215244057890713761	0 2 6 8 18 20 30 32 36 38	81929539650
STPT(10)	2215244197811515877	0 2 30 32 42 44 54 56 84 86	221850341766
TPT(14)	2215244666265088301	0 2 6 8 48 50 96 98 126 128 198 200 228 230	690303914190
SPT(16)	2215244737116526559	0 2 8 12 30 48 138 198 314 374 464 482 500 504 510 512	761155352448
SPT(16)	2215244974046245511	0 12 30 56 68 102 108 116 192 200 206 240 252 278 296 308	998085071400