Prime p₀= 2004209128232622959 starts a Symmetric tuple of 16 consecutive primes (SPT).
d_n: 0 8 12 22 20 36 6 36 22 36 6 36 20 22 12 8 (?)
a_n: 0 8 20 42 62 98 104 140 162 198 204 240 260 282 294 302
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: 302
Found by: Landjunge
db: batch=80, k=16, 8 12 22 20 36 6 36 22

SPT(16)	2004208413474723767	0 12 44 56 72 80 104 114 122 132 156 164 180 192 224 236	-714757899192
STPT(10)	2004208416227461517	0 2 84 86 192 194 300 302 384 386	-712005161442
STPT(10)	2004208881010083029	0 2 18 20 60 62 102 104 120 122	-247222539930
SPT(16)	2004208895328505121	0 12 18 26 36 62 78 102 176 200 216 242 252 260 266 278	-232904117838
TPT(14)	2004208906698845849	0 2 30 32 78 80 198 200 312 314 330 332 342 344	-221533777110
SPT(16)	2004209110709115143	0 8 54 60 86 126 164 176 228 240 278 318 344 350 396 404	-17523507816
SPT(16)	2004209327216992151	0 48 50 72 90 92 128 168 230 270 306 308 326 348 350 398	198984369192
TPT(14)	2004209476624520609	0 2 12 14 42 44 78 80 108 110 132 134 138 140	348391897650
STPT(10)	2004210215708770841	0 2 36 38 78 80 120 122 156 158	1087476147882
SPT(16)	2004210216583253851	0 12 22 28 30 90 96 118 120 142 148 208 210 216 226 238	1088350630892
STPT(10)	2004210299442305369	0 2 18 20 30 32 42 44 60 62	1171209682410