Prime p₀= 2362409398518481259 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 44 28 8 34 116 34 14 16 14 34 116 34 8 28 44 (?)
a_n: 0 44 72 80 114 230 264 278 294 308 342 458 492 500 528 572
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: 572
Found by: Landjunge
db: batch=81, k=16, 44 28 8 34 116 34 14 16

SPT(18)	2362407877620785041	0 28 40 42 76 78 82 126 130 168 172 216 220 222 256 258 270 298	-1520897696218
STPT(10)	2362408285134059597	0 2 30 32 42 44 54 56 84 86	-1113384421662
SPT(16)	2362408863761191823	0 6 18 84 110 120 128 156 158 186 194 204 230 296 308 314	-534757289436
TPT(14)	2362409035765051307	0 2 72 74 114 116 192 194 270 272 390 392 402 404	-362753429952
STPT(10)	2362409303601918479	0 2 18 20 30 32 42 44 60 62	-94916562780
SPT(16)	2362409382606917341	0 70 76 88 130 166 168 172 216 220 222 258 300 312 318 388	-15911563918
SPT(16)	2362409592968211361	0 28 42 58 108 142 150 168 172 190 198 232 282 298 312 340	194449730102
SPT(16)	2362409846774489069	0 12 24 54 60 104 122 134 150 162 180 224 230 260 272 284	448256007810
STPT(10)	2362409903359104587	0 2 42 44 102 104 162 164 204 206	504840623328
STPT(10)	2362410077264722949	0 2 48 50 60 62 72 74 120 122	678746241690
SPT(16)	2362410081025617167	0 20 26 44 72 84 102 122 174 194 212 224 252 270 276 296	682507135908