Prime p₀= 2568445906226390537 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2568443816083398401	0 2 30 32 78 80 126 128 156 158	-2090142992136
STPT(10)	2568444276962752997	0 2 54 56 72 74 90 92 144 146	-1629263637540
SPT(16)	2568444521045181143	0 18 24 66 80 96 98 110 114 126 128 144 158 200 206 224	-1385181209394
SPT(16)	2568444795725883677	0 26 72 74 84 114 120 182 324 386 392 422 432 434 480 506	-1110500506860
STPT(10)	2568444951940501607	0 2 30 32 42 44 54 56 84 86	-954285888930
SPT(16)	2568445873321437917	0 20 54 146 152 156 176 210 266 300 320 324 330 422 456 476	-32904952620
SPT(16)	2568445915130803717	0 6 22 52 66 114 130 132 214 216 232 280 294 324 340 346	8904413180
SPT(16)	2568446033170380863	0 36 56 114 134 140 174 216 218 260 294 300 320 378 398 434	126943990326
SPT(16)	2568446038734346241	0 8 38 60 120 122 158 170 198 210 246 248 308 330 360 368	132507955704
STPT(12)	2568446900838397349	0 2 12 14 42 44 180 182 210 212 222 224	994612006812
SPT(16)	2568446915296440751	0 40 42 82 88 100 102 112 126 136 138 150 156 196 198 238	1009070050214