Prime p₀= 2685584583651140629 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 34 20 66 4 36 30 42 20 42 30 36 4 66 20 34 (?)
a_n: 0 34 54 120 124 160 190 232 252 294 324 360 364 430 450 484
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: 484
Found by: RFGuy_KCCO
db: batch=82, k=16, 34 20 66 4 36 30 42 20

SPT(16)	2685583601773086709	0 10 18 100 102 112 118 178 192 252 258 268 270 352 360 370	-981878053920
STPT(12)	2685583757338898237	0 2 54 56 84 86 120 122 150 152 204 206	-826312242392
SPT(16)	2685583957725136249	0 4 18 28 48 78 124 138 160 174 220 250 270 280 294 298	-625926004380
SPT(16)	2685584034848661179	0 2 18 50 60 98 120 122 210 212 234 272 282 314 330 332	-548802479450
SPT(16)	2685584224183602403	0 28 34 36 58 76 84 88 156 160 168 186 208 210 216 244	-359467538226
STPT(10)	2685584448605092301	0 2 36 38 78 80 120 122 156 158	-135046048328
STPT(10)	2685584837538158999	0 2 42 44 60 62 78 80 120 122	253887018370
SPT(16)	2685584990597051063	0 6 36 108 146 156 164 170 174 180 188 198 236 308 338 344	406945910434
SPT(16)	2685586300976401027	0 22 24 30 64 72 100 106 150 156 184 192 226 232 234 256	1717325260398
STPT(10)	2685586351563595427	0 2 24 26 192 194 360 362 384 386	1767912454798
SPT(16)	2685586596457192487	0 50 114 122 156 164 182 224 402 444 462 470 504 512 576 626	2012806051858