Prime p₀= 864817688441440001 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 46 2 118 2 16 2 82 2 94 2 10 2 (?)
a_n: 0 2 48 50 168 170 186 188 270 272 366 368 378 380
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: 380
Found by: RFGuy_KCCO
db: batch=73, k=14, 46 118 16 82 94 10

TPT(14)	864816263033812667	0 2 42 44 54 56 144 146 210 212 222 224 240 242	-1425407627334
SPT(16)	864816818369206349	0 12 20 54 72 80 114 180 182 248 282 290 308 342 350 362	-870072233652
STPT(10)	864816980627434577	0 2 12 14 42 44 72 74 84 86	-707814005424
SPT(16)	864817208269666033	0 6 16 40 46 70 84 114 130 160 174 198 204 228 238 244	-480171773968
SPT(16)	864817229202251537	0 6 20 44 56 62 72 84 92 104 114 120 132 156 170 176	-459239188464
STPT(10)	864817304376193967	0 2 42 44 162 164 282 284 324 326	-384065246034
STPT(10)	864817729309063457	0 2 42 44 72 74 102 104 144 146	40867623456
SPT(16)	864817950168990733	0 6 16 70 108 136 156 160 174 178 198 226 264 318 328 334	261727550732
TPT(14)	864818037768277277	0 2 42 44 60 62 84 86 144 146 192 194 282 284	349326837276
SPT(16)	864818347187811607	0 6 10 22 30 34 94 106 120 132 192 196 204 216 220 226	658746371606
SPT(16)	864818368610622029	0 8 14 42 48 50 62 90 92 120 132 134 140 168 174 182	680169182028