Prime p₀= 2579421672893867761 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 12 24 6 28 12 38 10 8 10 38 12 28 6 24 12 (?)
a_n: 0 12 36 42 70 82 120 130 138 148 186 198 226 232 256 268
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: 268
Found by: JayPi
db: batch=82, k=16, 12 24 6 28 12 38 10 8

STPT(10)	2579419761692044259	0 2 18 20 30 32 42 44 60 62	-1911201823502
STPT(10)	2579419766545409699	0 2 18 20 30 32 42 44 60 62	-1906348458062
SPT(16)	2579420279305605193	0 16 34 64 78 90 120 124 150 154 184 196 210 240 258 274	-1393588262568
STPT(10)	2579420802257229107	0 2 72 74 102 104 132 134 204 206	-870636638654
STPT(10)	2579421118164333809	0 2 42 44 60 62 78 80 120 122	-554729533952
SPT(16)	2579421400757427349	0 30 70 82 100 102 142 198 214 270 310 312 330 342 382 412	-272136440412
SPT(16)	2579422152790898539	0 42 54 78 82 88 94 112 120 138 144 150 154 178 190 232	479897030778
TPT(14)	2579422163429872259	0 2 30 32 48 50 90 92 198 200 420 422 438 440	490536004498
SPT(16)	2579422497246460891	0 22 28 42 60 82 88 172 198 282 288 310 328 342 348 370	824352593130
STPT(10)	2579422550475827657	0 2 12 14 42 44 72 74 84 86	877581959896
SPT(16)	2579422875489328993	0 4 28 46 108 124 126 150 154 178 180 196 258 276 300 304	1202595461232