Prime p₀= 923578670648939309 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: ginga
db: batch=76, k=10, 2 10 2 76 2

SPT(16)	923577203249352103	0 6 40 48 60 70 78 114 130 166 174 184 196 204 238 244	-1467399587206
STPT(10)	923577558742191047	0 2 30 32 60 62 90 92 120 122	-1111906748262
STPT(10)	923577853743184721	0 2 6 8 48 50 90 92 96 98	-816905754588
SPT(16)	923578378306834823	0 30 48 60 74 96 114 140 144 170 188 210 224 236 254 284	-292342104486
SPT(16)	923578424912756999	0 14 18 42 50 74 84 102 140 158 168 192 200 224 228 242	-245736182310
STPT(10)	923578508464053707	0 2 42 44 72 74 102 104 144 146	-162184885602
SPT(16)	923578900809133571	0 18 32 48 60 80 120 146 162 188 228 248 260 276 290 308	230160194262
SPT(16)	923579100797602943	0 18 36 78 114 116 158 180 224 246 288 290 326 368 386 404	430148663634
SPT(16)	923579163113333743	0 60 120 144 174 196 220 256 258 294 318 340 370 394 454 514	492464394434
STPT(12)	923579249146733519	0 2 18 20 30 32 60 62 72 74 90 92	578497794210
STPT(10)	923579443469602859	0 2 18 20 30 32 42 44 60 62	772820663550