Prime p₀= 2618441391579867857 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 6 48 68 12 18 42 22 134 22 42 18 12 68 48 6 (?)
a_n: 0 6 54 122 134 152 194 216 350 372 414 432 444 512 560 566
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: 566
Found by: [SG-2W]Kurzer
db: batch=82, k=16, 6 48 68 12 18 42 22 134

SPT(16)	2618440016232671327	0 30 50 54 86 110 126 146 204 224 240 264 296 300 320 350	-1375347196530
STPT(10)	2618440247969022941	0 2 36 38 78 80 120 122 156 158	-1143610844916
STPT(10)	2618440481698066271	0 2 120 122 138 140 156 158 276 278	-909881801586
SPT(16)	2618440678087280017	0 4 10 54 76 100 130 154 156 180 210 234 256 300 306 310	-713492587840
SPT(16)	2618441306002715749	0 24 30 70 114 124 132 138 154 160 168 178 222 262 268 292	-85577152108
TPT(14)	2618441372009369717	0 2 42 44 114 116 150 152 180 182 192 194 312 314	-19570498140
STPT(10)	2618441959530624737	0 2 42 44 72 74 102 104 144 146	567950756880
SPT(16)	2618442125730769307	0 6 54 62 102 126 176 210 236 270 320 344 384 392 440 446	734150901450
STPT(10)	2618442531481713029	0 2 30 32 60 62 90 92 120 122	1139901845172
SPT(16)	2618442663655279267	0 10 72 120 126 144 156 186 280 310 322 340 346 394 456 466	1272075411410
SPT(16)	2618442985806933353	0 48 50 74 90 110 138 176 228 266 294 314 330 354 356 404	1594227065496