Prime p₀= 2370389047649372261 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 66 12 50 28 20 6 40 44 40 6 20 28 50 12 66 (?)
a_n: 0 66 78 128 156 176 182 222 266 306 312 332 360 410 422 488
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: 488
Found by: Landjunge
db: batch=81, k=16, 66 12 50 28 20 6 40 44

SPT(16)	2370387317801837687	0 26 42 72 86 122 170 174 212 216 264 300 314 344 360 386	-1729847534574
SPT(16)	2370387738877141859	0 2 12 14 24 38 44 50 72 78 84 98 108 110 120 122	-1308772230402
STPT(10)	2370388157129595221	0 2 66 68 108 110 150 152 216 218	-890519777040
STPT(10)	2370388208148156401	0 2 6 8 18 20 30 32 36 38	-839501215860
STPT(10)	2370388566742846619	0 2 12 14 30 32 48 50 60 62	-480906525642
SPT(20)	2370388978691896787	0 56 92 144 186 192 210 216 270 312 314 356 410 416 434 440 482 534 570 626	-68957475474
STPT(10)	2370389145671912117	0 2 30 32 42 44 54 56 84 86	98022539856
SPT(16)	2370389378276542369	0 4 18 40 54 82 94 108 154 168 180 208 222 244 258 262	330627170108
STPT(10)	2370389626451782097	0 2 30 32 42 44 54 56 84 86	578802409836
SPT(16)	2370389817517252967	0 42 62 102 174 200 204 206 210 212 216 242 314 354 374 416	769867880706
SPT(16)	2370390047359630381	0 12 18 46 82 96 120 178 180 238 262 276 312 340 346 358	999710258120