Prime p₀= 3212909152854508337 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: Hightower
db: batch=83, k=10, 2 22 2 16 2

SPT(16)	3212908270478870389	0 28 72 82 88 100 118 150 160 192 210 222 228 238 282 310	-882375637948
SPT(16)	3212908335348666209	0 12 48 72 90 98 110 114 188 192 204 212 230 254 290 302	-817505842128
SPT(16)	3212908576029506261	0 12 48 116 150 152 186 216 242 272 306 308 342 410 446 458	-576825002076
SPT(16)	3212908833071005597	0 34 46 70 96 126 226 244 336 354 454 484 510 534 546 580	-319783502740
TPT(14)	3212909028204833927	0 2 12 14 102 104 222 224 270 272 300 302 312 314	-124649674410
STPT(10)	3212909050657544339	0 2 12 14 90 92 168 170 180 182	-102196963998
STPT(10)	3212909154591759431	0 2 6 8 48 50 90 92 96 98	1737251094
STPT(10)	3212909231096509337	0 2 30 32 42 44 54 56 84 86	78242001000
STPT(10)	3212909271152234651	0 2 6 8 48 50 90 92 96 98	118297726314
SPT(16)	3212909668142875751	0 12 18 56 102 116 120 122 306 308 312 326 372 410 416 428	515288367414
SPT(16)	3212909728092293297	0 26 32 50 54 92 120 164 222 266 294 332 336 354 360 386	575237784960