Prime p₀= 2589704070799912679 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: Orange Kid
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2589701538919874497	0 16 30 42 54 180 184 226 240 282 286 412 424 436 450 466	-2531880038182
SPT(16)	2589701759412517279	0 18 24 28 52 88 132 160 162 190 234 270 294 298 304 322	-2311387395400
SPT(16)	2589702177149781041	0 32 50 62 98 110 140 152 426 438 468 480 516 528 546 578	-1893650131638
STPT(10)	2589702305563644911	0 2 6 8 48 50 90 92 96 98	-1765236267768
SPT(16)	2589702846307277081	0 2 36 56 78 80 96 98 120 122 138 140 162 182 216 218	-1224492635598
STPT(10)	2589703311055908329	0 2 18 20 60 62 102 104 120 122	-759744004350
SPT(16)	2589704256378723041	0 42 56 108 228 246 260 288 290 318 332 350 470 522 536 578	185578810362
STPT(10)	2589704302426184729	0 2 30 32 60 62 90 92 120 122	231626272050
SPT(16)	2589704751069211141	0 10 66 72 108 126 136 196 282 342 352 370 406 412 468 478	680269298462
SPT(16)	2589705022530558811	0 6 30 48 90 120 168 172 186 190 238 268 310 328 352 358	951730646132
STPT(10)	2589705384024230369	0 2 18 20 30 32 42 44 60 62	1313224317690