Prime p₀= 2338631125449753653 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 36 24 56 60 28 2 28 2 28 2 28 60 56 24 36 (?)
a_n: 0 36 60 116 176 204 206 234 236 264 266 294 354 410 434 470
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: 470
Found by: Landjunge
db: batch=81, k=16, 36 24 56 60 28 2 28 2

SPT(16)	2338629823249593257	0 44 54 66 72 80 104 140 156 192 216 224 230 242 252 296	-1302200160396
STPT(10)	2338629827256903161	0 2 36 38 78 80 120 122 156 158	-1298192850492
STPT(10)	2338629923669971541	0 2 36 38 78 80 120 122 156 158	-1201779782112
TPT(14)	2338630092686370029	0 2 30 32 42 44 138 140 150 152 222 224 318 320	-1032763383624
SPT(16)	2338630368502004183	0 14 48 80 90 120 126 146 168 188 194 224 234 266 300 314	-756947749470
STPT(10)	2338630878538681421	0 2 30 32 60 62 90 92 120 122	-246911072232
SPT(16)	2338631604542612549	0 2 14 24 30 48 120 158 174 212 284 302 308 318 330 332	479092858896
STPT(10)	2338631632384227767	0 2 30 32 72 74 114 116 144 146	506934474114
SPT(16)	2338631778666789209	0 30 42 44 48 50 62 128 294 360 372 374 378 380 392 422	653217035556
STPT(10)	2338632162045216977	0 2 30 32 60 62 90 92 120 122	1036595463324
SPT(18)	2338632229962360779	0 20 24 44 84 90 98 122 132 140 150 174 182 188 228 248 252 272	1104512607126