Prime p₀= 2124138612931195733 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 80 18 10 2 28 6 30 26 30 6 28 2 10 18 80 (?)
a_n: 0 80 98 108 110 138 144 174 200 230 236 264 266 276 294 374
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: 374
Found by: Paul
db: batch=80, k=16, 80 18 10 2 28 6 30 26

SPT(16)	2124137877937994969	0 12 68 84 120 128 138 152 180 194 204 212 248 264 320 332	-734993200764
STPT(10)	2124138001185081779	0 2 18 20 30 32 42 44 60 62	-611746113954
STPT(10)	2124138034057453229	0 2 12 14 30 32 48 50 60 62	-578873742504
STPT(10)	2124138090179638199	0 2 18 20 30 32 42 44 60 62	-522751557534
STPT(10)	2124138235444796279	0 2 42 44 60 62 78 80 120 122	-377486399454
STPT(12)	2124138410397903659	0 2 12 14 42 44 60 62 90 92 102 104	-202533292074
STPT(10)	2124138648904077077	0 2 24 26 42 44 60 62 84 86	35972881344
STPT(10)	2124138808529952881	0 2 6 8 18 20 30 32 36 38	195598757148
STPT(10)	2124138853992993977	0 2 12 14 42 44 72 74 84 86	241061798244
SPT(16)	2124139202646657437	0 2 14 62 114 120 140 146 150 156 176 182 234 282 294 296	589715461704
STPT(10)	2124139241488813187	0 2 60 62 72 74 84 86 144 146	628557617454