Prime p₀= 2538160021024452131 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 20 48 4 8 28 24 26 22 26 24 28 8 4 48 20 (?)
a_n: 0 20 68 72 80 108 132 158 180 206 230 258 266 270 318 338
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: 338
Found by: JayPi
db: batch=82, k=16, 20 48 4 8 28 24 26 22

SPT(16)	2538159215741030173	0 4 18 34 36 84 90 138 196 244 250 298 300 316 330 334	-805283421958
STPT(10)	2538159293810206667	0 2 42 44 72 74 102 104 144 146	-727214245464
STPT(10)	2538159337102848629	0 2 18 20 60 62 102 104 120 122	-683921603502
SPT(16)	2538159399752304421	0 10 16 18 22 70 112 136 162 186 228 276 280 282 288 298	-621272147710
STPT(10)	2538159666482900429	0 2 12 14 30 32 48 50 60 62	-354541551702
SPT(16)	2538159877523183113	0 28 30 40 114 118 148 168 280 300 330 334 408 418 420 448	-143501269018
SPT(16)	2538160260878649857	0 50 62 84 90 92 114 146 150 182 204 206 212 234 246 296	239854197726
SPT(16)	2538160353704515411	0 42 82 130 172 190 198 222 256 280 288 306 348 396 436 478	332680063280
TPT(14)	2538160375984920059	0 2 18 20 48 50 72 74 90 92 228 230 258 260	354960467928
TPT(14)	2538160390924454027	0 2 12 14 84 86 180 182 240 242 264 266 492 494	369900001896
SPT(16)	2538160480360877747	0 6 36 62 90 102 144 162 194 212 254 266 294 320 350 356	459336425616