Prime p₀= 2071118570813202731 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Landjunge
db: batch=80, k=10, 2 4 2 10 2

SPT(16)	2071117462763672177	0 12 44 54 60 86 114 210 296 392 420 446 452 462 494 506	-1108049530554
SPT(16)	2071117541049299747	0 50 56 60 86 146 170 176 180 186 210 270 296 300 306 356	-1029763902984
SPT(16)	2071117706945489539	0 10 18 88 142 148 150 190 192 232 234 240 294 364 372 382	-863867713192
SPT(16)	2071117781006441653	0 76 96 118 180 204 208 220 234 246 250 274 336 358 378 454	-789806761078
SPT(16)	2071117968237580939	0 34 102 118 130 138 172 232 270 330 364 372 384 400 468 502	-602575621792
SPT(16)	2071118315153148473	0 6 14 50 56 116 158 176 258 276 318 378 384 420 428 434	-255660054258
SPT(16)	2071118650530020617	0 10 16 22 30 36 114 126 130 142 220 226 234 240 246 256	79716817886
SPT(16)	2071118676727656137	0 24 60 72 80 96 110 126 140 156 170 186 194 206 242 266	105914453406
SPT(16)	2071118868051031009	0 54 82 162 184 208 222 234 238 250 264 288 310 390 418 472	297237828278
STPT(10)	2071119028037562047	0 2 30 32 42 44 54 56 84 86	457224359316
STPT(10)	2071119154033969181	0 2 6 8 18 20 30 32 36 38	583220766450