Prime p₀= 1257975921671418527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Megacruncher
db: batch=77, k=10, 2 52 2 76 2

STPT(10)	1257975038299558001	0 2 90 92 150 152 210 212 300 302	-883371860526
STPT(10)	1257975073990982099	0 2 18 20 30 32 42 44 60 62	-847680436428
STPT(10)	1257975189181952999	0 2 18 20 30 32 42 44 60 62	-732489465528
SPT(16)	1257975206419381673	0 38 44 54 68 80 108 110 144 146 174 186 200 210 216 254	-715252036854
SPT(16)	1257975286958607407	0 32 54 72 80 84 92 102 134 144 152 156 164 182 204 236	-634712811120
SPT(16)	1257975556163247401	0 30 50 60 98 152 162 182 198 218 228 282 320 330 350 380	-365508171126
SPT(16)	1257976048349777171	0 20 30 78 116 120 132 182 246 296 308 312 350 398 408 428	126678358644
SPT(16)	1257976181729419001	0 38 92 150 180 182 188 210 230 252 258 260 290 348 402 440	260058000474
STPT(10)	1257976331015653589	0 2 18 20 30 32 42 44 60 62	409344235062
STPT(10)	1257977198939738489	0 2 42 44 60 62 78 80 120 122	1277268319962
STPT(10)	1257977370505090439	0 2 78 80 120 122 162 164 240 242	1448833671912