Prime p₀= 2531308723802353679 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

STPT(10)	2531306158360138301	0 2 6 8 18 20 30 32 36 38	-2565442215378
SPT(16)	2531306277636584039	0 12 54 144 224 260 264 278 294 308 312 348 428 518 560 572	-2446165769640
TPT(14)	2531306362438249271	0 2 30 32 36 38 66 68 78 80 126 128 150 152	-2361364104408
STPT(10)	2531307888511998719	0 2 12 14 30 32 48 50 60 62	-835290354960
SPT(16)	2531308517137679219	0 2 30 42 120 162 168 182 198 212 218 260 338 350 378 380	-206664674460
TPT(14)	2531308566353351507	0 2 30 32 90 92 204 206 282 284 294 296 450 452	-157449002172
STPT(10)	2531308827976494491	0 2 30 32 78 80 126 128 156 158	104174140812
STPT(10)	2531309266121782841	0 2 30 32 78 80 126 128 156 158	542319429162
SPT(16)	2531309622744747007	0 4 30 42 100 114 132 144 172 184 202 216 274 286 312 316	898942393328
SPT(16)	2531309683866157357	0 4 10 42 72 114 120 144 160 184 190 232 262 294 300 304	960063803678
STPT(10)	2531309719923518489	0 2 42 44 90 92 138 140 180 182	996121164810