Prime p₀= 2147412363221556017 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2147410635468286477	0 46 64 66 100 130 136 160 186 210 216 246 280 282 300 346	-1727753269540
SPT(16)	2147410842047384863	0 4 10 54 70 88 118 124 264 270 300 318 334 378 384 388	-1521174171154
TPT(14)	2147411308478469791	0 2 6 8 18 20 30 32 90 92 168 170 240 242	-1054743086226
STPT(10)	2147411755464459899	0 2 48 50 60 62 72 74 120 122	-607757096118
SPT(16)	2147412023400601277	0 14 26 42 66 92 116 144 242 270 294 320 344 360 372 386	-339820954740
SPT(16)	2147412122455000019	0 2 62 68 92 114 134 150 152 168 188 210 234 240 300 302	-240766555998
STPT(10)	2147412675474738611	0 2 30 32 60 62 90 92 120 122	312253182594
SPT(16)	2147413777809903979	0 12 52 70 94 102 138 172 210 244 280 288 312 330 370 382	1414588347962
SPT(16)	2147413807686709117	0 30 52 106 166 216 222 226 300 304 310 360 420 474 496 526	1444465153100
STPT(10)	2147413918609901267	0 2 30 32 42 44 54 56 84 86	1555388345250
STPT(10)	2147413930203274037	0 2 30 32 42 44 54 56 84 86	1566981718020