Prime p₀= 2854714959355362209 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 40 2 34 2 58 2 52 2 4 2 52 2 (?)
a_n: 0 2 42 44 78 80 138 140 192 194 198 200 252 254
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: 254
Found by: JayPi
db: batch=82, k=14, 40 34 58 52 4 52

TPT(14)	2854713404708111159	0 2 108 110 132 134 288 290 300 302 330 332 432 434	-1554647251050
SPT(16)	2854713664910888423	0 18 30 56 74 110 144 210 224 290 324 360 378 404 416 434	-1294444473786
SPT(16)	2854714465372746659	0 12 20 60 62 72 90 140 144 194 212 222 224 264 272 284	-493982615550
STPT(10)	2854714554011608961	0 2 30 32 78 80 126 128 156 158	-405343753248
SPT(16)	2854714654693381057	0 30 40 64 90 102 112 142 144 174 184 196 222 246 256 286	-304661981152
SPT(16)	2854714677108724543	0 18 28 40 84 94 150 156 208 214 270 280 324 336 346 364	-282246637666
SPT(16)	2854715135206256143	0 16 40 96 106 120 136 150 196 210 226 240 250 306 330 346	175850893934
STPT(10)	2854715207253002411	0 2 36 38 108 110 180 182 216 218	247897640202
STPT(10)	2854715326386870647	0 2 30 32 42 44 54 56 84 86	367031508438
SPT(16)	2854715436897783497	0 24 36 42 62 104 132 134 162 164 192 234 254 260 272 296	477542421288
TPT(14)	2854715645330122391	0 2 138 140 156 158 180 182 186 188 228 230 408 410	685974760182