Prime p₀= 2558591602252650059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2558590221164357417	0 6 42 56 122 144 146 204 212 270 272 294 360 374 410 416	-1381088292642
SPT(16)	2558590861937724169	0 30 34 52 64 72 124 132 142 150 202 210 222 240 244 274	-740314925890
STPT(10)	2558590952389478687	0 2 90 92 102 104 114 116 204 206	-649863171372
STPT(10)	2558591072502544991	0 2 6 8 18 20 30 32 36 38	-529750105068
SPT(16)	2558591345729451073	0 28 90 96 138 144 186 220 294 328 370 376 418 424 486 514	-256523198986
SPT(16)	2558591584939182953	0 84 98 144 174 188 200 228 266 294 306 320 350 396 410 494	-17313467106
SPT(16)	2558591675329860829	0 24 42 52 58 70 72 130 162 220 222 234 240 250 268 292	73077210770
SPT(16)	2558592286691778353	0 8 18 60 84 120 128 134 294 300 308 344 368 410 420 428	684439128294
SPT(16)	2558592850781725283	0 26 38 44 60 108 140 180 224 264 296 344 360 366 378 404	1248529075224
SPT(16)	2558592989640318797	0 20 62 66 90 104 126 132 194 200 222 236 260 264 306 326	1387387668738
STPT(10)	2558593403784378011	0 2 6 8 18 20 30 32 36 38	1801531727952