Prime p₀= 2323345367628095557 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 40 20 46 24 2 88 2 22 2 88 2 24 46 20 40 (?)
a_n: 0 40 60 106 130 132 220 222 244 246 334 336 360 406 426 466
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: 466
Found by: Landjunge
db: batch=81, k=16, 40 20 46 24 2 88 2 22

SPT(16)	2323344606215072633	0 8 14 96 98 168 180 204 320 344 356 426 428 510 516 524	-761413022924
STPT(10)	2323344730647080909	0 2 18 20 30 32 42 44 60 62	-636981014648
SPT(16)	2323344746963948921	0 20 38 42 66 78 92 96 122 126 140 152 176 180 198 218	-620664146636
STPT(10)	2323344841946573741	0 2 6 8 18 20 30 32 36 38	-525681521816
STPT(10)	2323344868686358799	0 2 42 44 60 62 78 80 120 122	-498941736758
SPT(16)	2323345223617277281	0 28 36 42 66 88 120 136 162 178 210 232 256 262 270 298	-144010818276
STPT(10)	2323345526027141459	0 2 18 20 30 32 42 44 60 62	158399045902
STPT(10)	2323345593819746339	0 2 18 20 30 32 42 44 60 62	226191650782
SPT(16)	2323346317931340319	0 28 48 60 78 100 112 114 118 120 132 154 172 184 204 232	950303244762
STPT(10)	2323346391156490121	0 2 36 38 78 80 120 122 156 158	1023528394564
SPT(16)	2323346589355788863	0 14 26 44 60 80 86 96 158 168 174 194 210 228 240 254	1221727693306