Prime p₀= 2562673435099123469 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2562672268679138569	0 18 24 52 64 88 120 130 132 142 174 198 210 238 244 262	-1166419984900
STPT(10)	2562672367743696077	0 2 72 74 102 104 132 134 204 206	-1067355427392
SPT(16)	2562672388250672591	0 20 32 38 60 78 102 182 186 266 290 308 330 336 348 368	-1046848450878
STPT(10)	2562672828439137341	0 2 30 32 168 170 306 308 336 338	-606659986128
SPT(16)	2562673041008115683	0 14 20 30 44 60 86 104 156 174 200 216 230 240 246 260	-394091007786
SPT(16)	2562673266192739039	0 28 30 40 54 84 162 174 238 250 328 358 372 382 384 412	-168906384430
SPT(16)	2562673633719117943	0 78 84 120 136 138 150 160 324 334 346 348 364 400 406 484	198619994474
STPT(10)	2562673742358877307	0 2 30 32 42 44 54 56 84 86	307259753838
SPT(16)	2562673766541259061	0 32 48 60 78 98 146 150 158 162 210 230 248 260 276 308	331442135592
STPT(10)	2562673865100368177	0 2 12 14 72 74 132 134 144 146	430001244708
STPT(10)	2562673978196325809	0 2 12 14 30 32 48 50 60 62	543097202340