Prime p₀= 2563423592986506077 starts a Tuple of 14 consecutive primes, which form 7 twin primes (TPT).
d_n: 0 2 58 2 28 2 22 2 4 2 160 2 16 2 (?)
a_n: 0 2 60 62 90 92 114 116 120 122 282 284 300 302
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: 302
Found by: RFGuy_KCCO
db: batch=82, k=14, 58 28 22 4 160 16

TPT(14)	2563421744310806777	0 2 54 56 72 74 144 146 192 194 210 212 270 272	-1848675699300
TPT(14)	2563421752416281837	0 2 42 44 192 194 300 302 384 386 420 422 432 434	-1840570224240
SPT(16)	2563422105794828749	0 64 70 108 148 154 262 268 294 300 408 414 454 492 498 562	-1487191677328
SPT(16)	2563422909063055891	0 48 60 66 70 76 108 112 186 190 222 228 232 238 250 298	-683923450186
SPT(16)	2563423114067694133	0 28 40 90 120 126 156 166 198 208 238 244 274 324 336 364	-478918811944
STPT(10)	2563423222099382327	0 2 24 26 42 44 60 62 84 86	-370887123750
SPT(16)	2563424022802763597	0 12 32 66 92 116 162 164 222 224 270 294 320 354 374 386	429816257520
STPT(10)	2563424146410925709	0 2 18 20 30 32 42 44 60 62	553424419632
SPT(16)	2563424167437055939	0 4 34 48 58 64 70 90 142 162 168 174 184 198 228 232	574450549862
STPT(10)	2563424243208813449	0 2 48 50 90 92 132 134 180 182	650222307372
SPT(16)	2563424600855303183	0 56 140 174 188 204 206 216 218 228 230 246 260 294 378 434	1007868797106