Prime p₀= 2333306301468336611 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 94 2 70 2 28 2 28 2 106 2 (?)
a_n: 0 2 30 32 126 128 198 200 228 230 258 260 366 368
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: 368
Found by: Landjunge
db: batch=81, k=14, 28 94 70 28 28 106

SPT(16)	2333303471108253643	0 6 16 30 46 58 90 94 150 154 186 198 214 228 238 244	-2830360082968
SPT(16)	2333304394108015997	0 12 14 26 54 152 162 174 182 194 204 302 330 342 344 356	-1907360320614
SPT(16)	2333304519469879793	0 8 48 120 146 158 168 200 234 266 276 288 314 386 426 434	-1781998456818
STPT(10)	2333304520503626639	0 2 12 14 30 32 48 50 60 62	-1780964709972
STPT(10)	2333304981008100269	0 2 18 20 30 32 42 44 60 62	-1320460236342
SPT(16)	2333306276293520183	0 8 54 68 78 90 174 200 204 230 314 326 336 350 396 404	-25174816428
SPT(16)	2333306564491691069	0 8 24 30 50 68 84 108 140 164 180 198 218 224 240 248	263023354458
STPT(10)	2333306623208225219	0 2 42 44 60 62 78 80 120 122	321739888608
SPT(16)	2333306801066634331	0 22 28 46 60 70 78 130 138 190 198 208 222 240 246 268	499598297720
STPT(10)	2333307104075407259	0 2 48 50 60 62 72 74 120 122	802607070648
SPT(16)	2333307674438689457	0 20 26 66 84 90 104 122 204 222 236 242 260 300 306 326	1372970352846