Prime p₀= 2338865526985719827 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 56 30 4 26 28 26 24 22 24 26 28 26 4 30 56 (?)
a_n: 0 56 86 90 116 144 170 194 216 240 266 294 320 324 354 410
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: 410
Found by: Landjunge
db: batch=81, k=16, 56 30 4 26 28 26 24 22

SPT(16)	2338865040721678681	0 16 36 46 66 70 90 102 160 172 192 196 216 226 246 262	-486264041146
STPT(10)	2338865056897885079	0 2 12 14 90 92 168 170 180 182	-470087834748
STPT(10)	2338865154676809329	0 2 18 20 30 32 42 44 60 62	-372308910498
SPT(16)	2338865156530922269	0 24 70 84 118 154 222 258 334 370 438 474 508 522 568 592	-370454797558
SPT(16)	2338865220685809749	0 24 30 38 50 72 110 138 194 222 260 282 294 302 308 332	-306299910078
SPT(16)	2338865411069888401	0 10 22 28 42 72 100 108 112 120 148 178 192 198 210 220	-115915831426
STPT(12)	2338865559359998127	0 2 30 32 54 56 60 62 84 86 114 116	32374278300
STPT(10)	2338865775738938651	0 2 6 8 18 20 30 32 36 38	248753218824
STPT(10)	2338865830836031709	0 2 18 20 60 62 102 104 120 122	303850311882
TPT(14)	2338865881097305991	0 2 30 32 60 62 96 98 210 212 228 230 378 380	354111586164
SPT(16)	2338866023312315639	0 8 24 38 42 104 134 192 230 288 318 380 384 398 414 422	496326595812