Prime p₀= 2226252402084689411 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 34 2 28 2 70 2 10 2 4 2 (?)
a_n: 0 2 30 32 66 68 96 98 168 170 180 182 186 188
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: 188
Found by: FritzB
db: batch=81, k=14, 28 34 28 70 10 4

TPT(14)	2226251354865741239	0 2 12 14 108 110 150 152 210 212 330 332 408 410	-1047218948172
SPT(13)	2226251533736634011	0 60 72 90 138 222 240 258 342 390 408 420 480	-868348055400
SPT(16)	2226251689968012071	0 56 66 78 80 102 120 138 140 158 176 198 200 212 222 278	-712116677340
STPT(10)	2226252058052711537	0 2 30 32 60 62 90 92 120 122	-344031977874
STPT(10)	2226252076216467977	0 2 12 14 42 44 72 74 84 86	-325868221434
TPT(14)	2226252264419574449	0 2 48 50 60 62 78 80 90 92 168 170 240 242	-137665114962
SPT(16)	2226252520685616251	0 26 36 72 86 96 108 110 138 140 152 162 176 212 222 248	118600926840
SPT(16)	2226252601930033273	0 6 10 28 60 78 130 174 190 234 286 304 336 354 358 364	199845343862
SPT(16)	2226252774134240561	0 2 86 90 108 156 162 188 240 266 272 320 338 342 426 428	372049551150
TPT(14)	2226252787959336557	0 2 12 14 42 44 54 56 114 116 222 224 252 254	385874647146
SPT(16)	2226252909315471373	0 78 108 184 204 234 238 318 436 516 520 550 570 646 676 754	507230781962