Prime p₀= 1977375929082143581 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 52 38 82 30 18 2 76 2 76 2 18 30 82 38 52 (?)
a_n: 0 52 90 172 202 220 222 298 300 376 378 396 426 508 546 598
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: 598
Found by: Dingo
db: batch=80, k=16, 52 38 82 30 18 2 76 2

SPT(16)	1977373428025600897	0 10 12 22 34 52 94 112 144 162 204 222 234 244 246 256	-2501056542684
STPT(10)	1977373430020199969	0 2 18 20 30 32 42 44 60 62	-2499061943612
SPT(16)	1977373812677311003	0 40 46 60 70 76 96 118 126 148 168 174 184 198 204 244	-2116404832578
STPT(10)	1977374049310101191	0 2 36 38 78 80 120 122 156 158	-1879772042390
STPT(10)	1977374269044194747	0 2 24 26 42 44 60 62 84 86	-1660037948834
SPT(16)	1977375709048604719	0 30 40 70 78 84 108 112 180 184 208 214 222 252 262 292	-220033538862
SPT(16)	1977376573197248323	0 16 36 46 114 126 156 168 256 268 298 310 378 388 408 424	644115104742
TPT(14)	1977376829902913891	0 2 6 8 48 50 60 62 126 128 138 140 156 158	900820770310
SPT(16)	1977377083090567061	0 30 66 72 78 92 140 182 186 228 276 290 296 302 338 368	1154008423480
TPT(14)	1977377278462162319	0 2 30 32 78 80 108 110 198 200 222 224 408 410	1349380018738
STPT(10)	1977377412173788451	0 2 30 32 78 80 126 128 156 158	1483091644870