Prime p₀= 746592548790442997 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: Theadalus
db: batch=73, k=10, 2 22 2 16 2

SPT(16)	746591101126554581	0 32 60 62 72 140 176 216 242 282 318 386 396 398 426 458	-1447663888416
STPT(10)	746591839164858017	0 2 90 92 102 104 114 116 204 206	-709625584980
SPT(16)	746591892119081051	0 18 32 60 96 138 198 240 248 290 350 392 428 456 470 488	-656671361946
SPT(16)	746591940782381123	0 8 50 66 78 138 140 146 198 204 206 266 278 294 336 344	-608008061874
TPT(14)	746591942820459119	0 2 18 20 72 74 222 224 270 272 360 362 402 404	-605969983878
TPT(14)	746592485703588257	0 2 114 116 270 272 282 284 324 326 402 404 504 506	-63086854740
SPT(16)	746592643714304819	0 18 32 48 68 84 108 144 188 224 248 264 284 300 314 332	94923861822
SPT(16)	746592824334201437	0 62 80 84 90 134 140 162 164 186 192 236 242 246 264 326	275543758440
STPT(10)	746593256097143639	0 2 30 32 60 62 90 92 120 122	707306700642
STPT(10)	746593881545528741	0 2 6 8 48 50 90 92 96 98	1332755085744
STPT(10)	746594061058256231	0 2 6 8 18 20 30 32 36 38	1512267813234