Prime p₀= 3741343106499391427 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 76 2 130 2 28 2 4 2 10 2 (?)
a_n: 0 2 24 26 102 104 234 236 264 266 270 272 282 284
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: 284
Found by: arkiss
db: batch=84, k=14, 22 76 130 28 4 10

SPT(16)	3741341519311089227	0 32 36 42 182 186 200 212 240 252 266 270 410 416 420 452	-1587188302200
SPT(16)	3741341668030389067	0 24 106 154 162 210 234 256 270 292 316 364 372 420 502 526	-1438469002360
SPT(16)	3741342138413744131	0 10 22 36 88 106 120 148 150 178 192 210 262 276 288 298	-968085647296
STPT(10)	3741342608516694581	0 2 96 98 168 170 240 242 336 338	-497982696846
STPT(10)	3741342778007060999	0 2 48 50 90 92 132 134 180 182	-328492330428
TPT(14)	3741342867527180129	0 2 12 14 42 44 90 92 102 104 222 224 240 242	-238972211298
SPT(16)	3741343878582162493	0 4 18 34 36 46 88 90 154 156 198 208 210 226 240 244	772082771066
STPT(10)	3741344093508710639	0 2 18 20 30 32 42 44 60 62	987009319212
SPT(16)	3741344144368657663	0 16 46 48 58 90 106 118 168 180 196 228 238 240 270 286	1037869266236
SPT(16)	3741344275475360597	0 2 32 36 42 66 114 156 170 212 260 284 290 294 324 326	1168975969170
SPT(16)	3741344325783737219	0 24 84 128 170 200 218 228 260 270 288 318 360 404 464 488	1219284345792