Prime p₀= 2356419877670222669 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 4 2 82 2 64 2 22 2 16 2 (?)
a_n: 0 2 42 44 48 50 132 134 198 200 222 224 240 242
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: 242
Found by: hase
db: batch=81, k=14, 40 4 82 64 22 16

SPT(16)	2356418773051032527	0 50 54 56 74 92 102 116 120 134 144 162 180 182 186 236	-1104619190142
SPT(16)	2356418797624584221	0 72 86 140 152 200 222 278 300 356 378 426 438 492 506 578	-1080045638448
STPT(10)	2356418912450920859	0 2 12 14 90 92 168 170 180 182	-965219301810
STPT(10)	2356418969294883587	0 2 90 92 132 134 174 176 264 266	-908375339082
SPT(16)	2356419122339460371	0 18 36 98 116 138 152 198 200 246 260 282 300 362 380 398	-755330762298
SPT(16)	2356419414036567637	0 46 60 66 102 120 156 162 184 190 226 244 280 286 300 346	-463633655032
TPT(14)	2356420248683566061	0 2 36 38 150 152 318 320 336 338 360 362 390 392	371013343392
SPT(16)	2356420509942984899	0 24 60 110 134 144 194 200 228 234 284 294 318 368 404 428	632272762230
TPT(14)	2356420688116604117	0 2 24 26 54 56 72 74 84 86 150 152 162 164	810446381448
TPT(14)	2356421505888924977	0 2 72 74 114 116 192 194 240 242 312 314 324 326	1628218702308
STPT(10)	2356421771749090607	0 2 42 44 72 74 102 104 144 146	1894078867938