Prime p₀= 2004210299442305369 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2004209110709115143	0 8 54 60 86 126 164 176 228 240 278 318 344 350 396 404	-1188733190226
SPT(16)	2004209128232622959	0 8 20 42 62 98 104 140 162 198 204 240 260 282 294 302	-1171209682410
SPT(16)	2004209327216992151	0 48 50 72 90 92 128 168 230 270 306 308 326 348 350 398	-972225313218
TPT(14)	2004209476624520609	0 2 12 14 42 44 78 80 108 110 132 134 138 140	-822817784760
STPT(10)	2004210215708770841	0 2 36 38 78 80 120 122 156 158	-83733534528
SPT(16)	2004210216583253851	0 12 22 28 30 90 96 118 120 142 148 208 210 216 226 238	-82859051518
SPT(16)	2004210691343324041	0 30 40 106 118 120 160 222 226 288 328 330 342 408 418 448	391901018672
SPT(16)	2004210697608182207	0 30 42 50 74 102 156 176 180 200 254 282 306 314 326 356	398165876838
SPT(13)	2004211207897336651	0 36 90 96 126 156 168 180 210 240 246 300 336	908455031282
SPT(16)	2004211852903909931	0 6 18 20 32 42 60 62 126 128 146 156 168 170 182 188	1553461604562
SPT(16)	2004211900972896389	0 32 68 92 98 140 158 180 272 294 312 354 360 384 420 452	1601530591020