Prime p₀= 2569850339186564039 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: JayPi
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2569848414021001969	0 4 34 58 60 78 88 102 130 144 154 172 174 198 228 232	-1925165562070
SPT(16)	2569848634808089207	0 24 40 154 214 262 280 360 424 504 522 570 630 744 760 784	-1704378474832
STPT(10)	2569848689436675371	0 2 6 8 48 50 90 92 96 98	-1649749888668
SPT(16)	2569849210038896087	0 54 56 66 74 80 96 156 164 224 240 246 254 264 266 320	-1129147667952
TPT(14)	2569850204735762789	0 2 42 44 150 152 168 170 192 194 222 224 282 284	-134450801250
SPT(16)	2569850251402738921	0 28 100 108 138 156 192 250 408 466 502 520 550 558 630 658	-87783825118
SPT(16)	2569850497385315041	0 66 102 106 112 126 130 132 256 258 262 276 282 286 322 388	158198751002
STPT(10)	2569850556352521941	0 2 36 38 78 80 120 122 156 158	217165957902
STPT(10)	2569850727787285751	0 2 6 8 48 50 90 92 96 98	388600721712
SPT(16)	2569850774518056539	0 12 20 42 54 74 102 132 152 182 210 230 242 264 272 284	435331492500
STPT(10)	2569850907230582159	0 2 18 20 30 32 42 44 60 62	568044018120