Prime p₀= 865634880851033537 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 28 2 22 2 16 2 40 2 76 2 16 2 (?)
a_n: 0 2 30 32 54 56 72 74 114 116 192 194 210 212
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: 212
Found by: RFGuy_KCCO
db: batch=73, k=14, 28 22 16 40 76 16

SPT(16)	865633983945981793	0 34 60 88 90 96 100 114 130 144 148 154 156 184 210 244	-896905051744
STPT(10)	865634069147161409	0 2 18 20 30 32 42 44 60 62	-811703872128
SPT(16)	865634261149753451	0 6 12 20 42 72 90 108 170 188 206 236 258 266 272 278	-619701280086
STPT(10)	865634346548436467	0 2 30 32 60 62 90 92 120 122	-534302597070
SPT(16)	865634664258525211	0 10 18 22 52 70 88 96 112 120 138 156 186 190 198 208	-216592508326
SPT(16)	865634870545910929	0 34 48 70 84 178 190 220 228 258 270 364 378 400 414 448	-10305122608
STPT(10)	865635071297637911	0 2 6 8 48 50 90 92 96 98	190446604374
SPT(16)	865635081071041013	0 18 68 78 96 116 120 134 270 284 288 308 326 336 386 404	200220007476
STPT(10)	865635327396911387	0 2 30 32 42 44 54 56 84 86	446545877850
STPT(10)	865635423282350141	0 2 36 38 78 80 120 122 156 158	542431316604
STPT(10)	865635442769568857	0 2 12 14 42 44 72 74 84 86	561918535320