Prime p₀= 2109612420146930333 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 44 18 30 66 42 52 8 52 42 66 30 18 44 6 (?)
a_n: 0 6 50 68 98 164 206 258 266 318 360 426 456 474 518 524
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: 524
Found by: Landjunge
db: batch=80, k=16, 6 44 18 30 66 42 52 8

SPT(16)	2109611635643694883	0 28 30 54 88 96 130 150 184 204 238 246 280 304 306 334	-784503235450
STPT(10)	2109611953306867949	0 2 30 32 60 62 90 92 120 122	-466840062384
SPT(16)	2109612004664868527	0 6 14 42 84 110 132 146 270 284 306 332 374 402 410 416	-415482061806
STPT(10)	2109612017902195517	0 2 42 44 72 74 102 104 144 146	-402244734816
SPT(16)	2109612077393925283	0 28 40 48 54 58 84 90 154 160 186 190 196 204 216 244	-342753005050
STPT(10)	2109612120783126989	0 2 42 44 120 122 198 200 240 242	-299363803344
STPT(10)	2109612570995780699	0 2 30 32 60 62 90 92 120 122	150848850366
STPT(10)	2109612890028510467	0 2 30 32 42 44 54 56 84 86	469881580134
STPT(10)	2109613022540693639	0 2 12 14 30 32 48 50 60 62	602393763306
SPT(16)	2109613023694541999	0 20 30 84 110 140 162 174 218 230 252 282 308 362 372 392	603547611666
STPT(10)	2109613328102410979	0 2 30 32 60 62 90 92 120 122	907955480646