Prime p₀= 1123335143094659923 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 24 4 32 24 24 6 84 22 84 6 24 24 32 4 24 (?)
a_n: 0 24 28 60 84 108 114 198 220 304 310 334 358 390 394 418
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: 418
Found by: Theadalus
db: batch=76, k=16, 24 4 32 24 24 6 84 22

SPT(16)	1123334073617416123	0 24 84 106 138 144 156 166 168 178 190 196 228 250 310 334	-1069477243800
TPT(14)	1123334287843654877	0 2 12 14 42 44 144 146 222 224 312 314 324 326	-855251005046
SPT(16)	1123334445648964313	0 8 14 24 36 48 66 78 86 98 116 128 140 150 156 164	-697445695610
TPT(14)	1123334642281760057	0 2 30 32 114 116 144 146 204 206 210 212 240 242	-500812899866
STPT(10)	1123334705374826291	0 2 6 8 48 50 90 92 96 98	-437719833632
SPT(16)	1123334841706694657	0 6 144 150 174 182 230 260 276 306 354 362 386 392 530 536	-301387965266
SPT(16)	1123335347814037829	0 42 44 122 150 162 174 182 240 248 260 272 300 378 380 422	204719377906
STPT(10)	1123335433894964921	0 2 36 38 78 80 120 122 156 158	290800304998
STPT(10)	1123335603573672077	0 2 30 32 42 44 54 56 84 86	460479012154
STPT(10)	1123335693017973101	0 2 6 8 18 20 30 32 36 38	549923313178
SPT(16)	1123335722000832019	0 52 64 72 108 120 124 144 148 168 172 184 220 228 240 292	578906172096