Prime p₀= 997299858188687507 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=76, k=10, 2 22 2 16 2

SPT(16)	997298522755722113	0 6 14 20 24 26 36 38 66 68 78 80 84 90 98 104	-1335432965394
SPT(16)	997298546645026217	0 20 60 96 104 116 126 186 224 284 294 306 314 350 390 410	-1311543661290
SPT(16)	997298893075567949	0 12 38 44 102 110 140 188 234 282 312 320 378 384 410 422	-965113119558
STPT(10)	997299200414798399	0 2 18 20 30 32 42 44 60 62	-657773889108
STPT(10)	997299239170807997	0 2 30 32 72 74 114 116 144 146	-619017879510
SPT(16)	997299440483450183	0 18 48 78 98 120 158 188 198 228 266 288 308 338 368 386	-417705237324
STPT(10)	997299981505227077	0 2 30 32 42 44 54 56 84 86	123316539570
STPT(10)	997300280163007157	0 2 30 32 42 44 54 56 84 86	421974319650
STPT(10)	997300444894897877	0 2 30 32 42 44 54 56 84 86	586706210370
SPT(16)	997300473007707641	0 6 42 56 78 120 152 212 216 276 308 350 372 386 422 428	614819020134
SPT(16)	997301323399271437	0 30 40 42 100 154 184 196 240 252 282 336 394 396 406 436	1465210583930