Prime p₀= 2025581341808910979 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 10 68 22 14 6 64 6 2 6 64 6 14 22 68 10 (?)
a_n: 0 10 78 100 114 120 184 190 192 198 262 268 282 304 372 382
All 16 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 382
Found by: Dingo
db: batch=80, k=16, 10 68 22 14 6 64 6 2

SPT(16)	2025579783382379821	0 16 18 46 72 210 226 280 288 342 358 496 522 550 552 568	-1558426531158
SPT(16)	2025579804767107991	0 20 62 80 86 108 110 150 278 318 320 342 348 366 408 428	-1537041802988
TPT(14)	2025580734890659211	0 2 18 20 66 68 156 158 168 170 198 200 210 212	-606918251768
STPT(10)	2025580755485868941	0 2 6 8 48 50 90 92 96 98	-586323042038
STPT(10)	2025580865262082937	0 2 54 56 72 74 90 92 144 146	-476546828042
SPT(16)	2025580904193183839	0 32 42 80 108 120 134 138 164 168 182 194 222 260 270 302	-437615727140
SPT(16)	2025581397259263031	0 16 28 30 40 60 66 88 108 130 136 156 166 168 180 196	55450352052
SPT(16)	2025581746143351167	0 2 14 24 56 72 90 102 104 116 134 150 182 192 204 206	404334440188
STPT(10)	2025581973256477841	0 2 6 8 18 20 30 32 36 38	631447566862
STPT(10)	2025582150855217709	0 2 18 20 30 32 42 44 60 62	809046306730
STPT(10)	2025582357486908147	0 2 42 44 72 74 102 104 144 146	1015677997168