Prime p₀= 2106853731013510481 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 28 2 28 2 28 2 46 2 58 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122 168 170 228 230
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: 230
Found by: Landjunge
db: batch=80, k=14, 28 28 28 28 46 58

SPT(16)	2106852375546946673	0 18 84 120 150 158 176 210 224 258 276 284 314 350 416 434	-1355466563808
STPT(10)	2106852685314943409	0 2 18 20 30 32 42 44 60 62	-1045698567072
SPT(16)	2106852831775883731	0 78 88 102 130 172 190 222 256 288 306 348 376 390 400 478	-899237626750
SPT(16)	2106853077782527859	0 14 38 78 92 110 120 122 180 182 192 210 224 264 288 302	-653230982622
STPT(10)	2106853349781007739	0 2 18 20 30 32 42 44 60 62	-381232502742
SPT(16)	2106853661772409001	0 20 48 56 62 72 78 92 96 110 116 126 132 140 168 188	-69241101480
STPT(10)	2106853731013510481	0 2 30 32 60 62 90 92 120 122	0
SPT(16)	2106853868000287709	0 42 108 128 132 134 168 182 240 254 288 290 294 314 380 422	136986777228
STPT(10)	2106853983629243111	0 2 6 8 48 50 90 92 96 98	252615732630
STPT(10)	2106854160719625347	0 2 30 32 60 62 90 92 120 122	429706114866
SPT(16)	2106854232966128573	0 6 48 78 96 114 126 140 174 188 200 218 236 266 308 314	501952618092