Prime p₀= 2112891000877763837 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 22 2 106 2 28 2 46 2 118 2 28 2 (?)
a_n: 0 2 24 26 132 134 162 164 210 212 330 332 360 362
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: 362
Found by: Landjunge
db: batch=80, k=14, 22 106 28 46 118 28

SPT(16)	2112890208015413129	0 8 18 32 78 80 114 120 122 128 162 164 210 224 234 242	-792862350708
STPT(10)	2112890213057004737	0 2 42 44 72 74 102 104 144 146	-787820759100
SPT(16)	2112890553764362639	0 60 108 154 168 192 204 234 268 298 310 334 348 394 442 502	-447113401198
SPT(16)	2112890870619402259	0 22 24 58 64 94 100 112 180 192 198 228 234 268 270 292	-130258361578
STPT(10)	2112890944691381357	0 2 24 26 42 44 60 62 84 86	-56186382480
SPT(16)	2112890981729242859	0 2 20 42 44 72 92 110 114 132 152 180 182 204 222 224	-19148520978
SPT(16)	2112891022914414307	0 10 34 42 52 82 90 120 136 166 174 204 214 222 246 256	22036650470
SPT(16)	2112891027646299787	0 34 42 46 96 102 106 124 132 150 154 160 210 214 222 256	26768535950
STPT(10)	2112891055602877577	0 2 24 26 42 44 60 62 84 86	54725113740
SPT(16)	2112891371249895169	0 10 24 48 64 90 114 118 150 154 178 204 220 244 258 268	370372131332
SPT(16)	2112891771953057077	0 22 52 54 64 112 154 180 274 300 342 390 400 402 432 454	771075293240