Prime p₀= 2259926657132973779 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 10 2 46 2 46 2 58 2 40 2 106 2 (?)
a_n: 0 2 12 14 60 62 108 110 168 170 210 212 318 320
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: 320
Found by: JayPi
db: batch=81, k=14, 10 46 46 58 40 106

SPT(16)	2259926160885785591	0 2 66 128 146 150 156 162 176 182 188 192 210 272 336 338	-496247188188
SPT(20)	2259926399784130943	0 54 90 104 116 186 188 218 230 236 258 264 276 306 308 378 390 404 440 494	-257348842836
SPT(16)	2259926467875742109	0 2 8 14 30 78 134 162 170 198 254 302 318 324 330 332	-189257231670
SPT(16)	2259926510410858903	0 6 40 48 78 84 144 154 180 190 250 256 286 294 328 334	-146722114876
SPT(13)	2259926604431026501	0 6 36 42 102 120 126 132 150 210 216 246 252	-52701947278
STPT(10)	2259926631373281989	0 2 18 20 30 32 42 44 60 62	-25759691790
SPT(16)	2259927041782479367	0 22 42 46 70 100 162 202 210 250 312 342 366 370 390 412	384649505588
TPT(14)	2259927601233779801	0 2 30 32 78 80 126 128 156 158 210 212 216 218	944100806022
STPT(10)	2259927601233779801	0 2 30 32 78 80 126 128 156 158	944100806022
STPT(10)	2259927858490338761	0 2 6 8 48 50 90 92 96 98	1201357364982
TPT(14)	2259927974595554357	0 2 54 56 90 92 132 134 150 152 162 164 204 206	1317462580578