Prime p₀= 3015896726161557149 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: ginga
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	3015895069490029429	0 42 72 82 114 132 154 202 240 288 310 328 360 370 400 442	-1656671527720
STPT(10)	3015895244197104077	0 2 12 14 42 44 72 74 84 86	-1481964453072
SPT(16)	3015895405042170701	0 12 50 66 92 102 116 140 222 246 260 270 296 312 350 362	-1321119386448
STPT(10)	3015895713263473121	0 2 6 8 48 50 90 92 96 98	-1012898084028
SPT(16)	3015895936500850171	0 6 10 18 28 46 48 60 118 130 132 150 160 168 172 178	-789660706978
SPT(16)	3015896228684501059	0 22 24 88 108 198 232 234 238 240 274 364 384 448 450 472	-497477056090
TPT(14)	3015896789170668881	0 2 36 38 156 158 168 170 186 188 240 242 258 260	63009111732
SPT(16)	3015896897316407339	0 20 54 74 78 104 152 158 204 210 258 284 288 308 342 362	171154850190
SPT(16)	3015896997362290409	0 14 30 42 84 104 132 134 168 170 198 218 260 272 288 302	271200733260
SPT(16)	3015897145398478163	0 6 30 36 78 116 240 260 264 284 408 446 488 494 518 524	419236921014
SPT(16)	3015897886779723889	0 10 12 58 72 84 94 132 160 198 208 220 234 280 282 292	1160618166740