Prime p₀= 1013261477337929777 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: stoneageman
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1013260502397244037	0 30 32 54 62 72 114 122 132 140 182 192 200 222 224 254	-974940685740
SPT(16)	1013260667246476657	0 30 52 66 72 126 130 150 352 372 376 430 436 450 472 502	-810091453120
SPT(16)	1013260701111338003	0 8 36 38 44 56 80 120 134 174 198 210 216 218 246 254	-776226591774
SPT(16)	1013260802454008363	0 6 8 26 30 90 140 168 176 204 254 314 318 336 338 344	-674883921414
STPT(12)	1013260875219029609	0 2 72 74 102 104 198 200 228 230 300 302	-602118900168
STPT(10)	1013261209145594579	0 2 18 20 30 32 42 44 60 62	-268192335198
STPT(10)	1013262049356423071	0 2 6 8 18 20 30 32 36 38	572018493294
SPT(16)	1013262316164089549	0 24 32 50 60 68 78 84 158 164 174 182 192 210 218 242	838826159772
SPT(16)	1013262449767466939	0 42 68 84 120 132 134 140 222 228 230 242 278 294 320 362	972429537162
STPT(10)	1013262687359768939	0 2 30 32 60 62 90 92 120 122	1210021839162
STPT(10)	1013263173984322199	0 2 72 74 120 122 168 170 240 242	1696646392422