Prime p₀= 2565934279256096891 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: [SG-FC] hl
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2565933640100262577	0 6 36 40 52 84 96 112 144 160 172 204 216 220 250 256	-639155834314
SPT(16)	2565933642711060229	0 12 48 72 112 138 144 174 178 208 214 240 280 304 340 352	-636545036662
STPT(12)	2565933673082645609	0 2 30 32 42 44 198 200 210 212 240 242	-606173451282
SPT(16)	2565933680438528087	0 30 32 56 72 120 140 162 254 276 296 344 360 384 386 416	-598817568804
TPT(14)	2565933969617613629	0 2 60 62 102 104 150 152 168 170 180 182 240 242	-309638483262
SPT(16)	2565934255855898861	0 20 30 38 62 68 90 98 162 170 192 198 222 230 240 260	-23400198030
STPT(10)	2565934554730344527	0 2 30 32 72 74 114 116 144 146	275474247636
SPT(16)	2565934683063537473	0 30 78 150 156 164 186 206 288 308 330 338 344 416 464 494	403807440582
SPT(16)	2565934772214828517	0 6 54 60 72 76 94 96 130 132 150 154 166 172 220 226	492958731626
STPT(10)	2565934897003019291	0 2 36 38 78 80 120 122 156 158	617746922400
STPT(10)	2565935128423033721	0 2 6 8 48 50 90 92 96 98	849166936830