Prime p₀= 1115167586329707731 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: mcf2020
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1115166770193767101	0 12 18 66 108 136 202 238 240 276 342 370 412 460 466 478	-816135940630
SPT(16)	1115167237500620267	0 60 84 122 144 150 152 182 204 234 236 242 264 302 326 386	-348829087464
SPT(16)	1115167286556845723	0 26 36 60 66 78 126 158 168 200 248 260 266 290 300 326	-299772862008
SPT(16)	1115167319798709421	0 28 58 76 88 96 150 216 220 286 340 348 360 378 408 436	-266530998310
SPT(16)	1115167402189871119	0 22 150 160 172 222 228 270 322 364 370 420 432 442 570 592	-184139836612
TPT(14)	1115167464259638467	0 2 12 14 42 44 60 62 150 152 234 236 240 242	-122070069264
SPT(16)	1115167761212887223	0 14 44 66 78 84 116 128 156 168 200 206 218 240 270 284	174883179492
SPT(16)	1115168222868731533	0 10 28 36 46 76 94 106 108 120 138 168 178 186 204 214	636539023802
STPT(10)	1115168584976083247	0 2 30 32 42 44 54 56 84 86	998646375516
TPT(14)	1115168626164333491	0 2 36 38 48 50 60 62 126 128 156 158 168 170	1039834625760
SPT(16)	1115168899003855841	0 6 62 66 80 120 140 150 242 252 272 312 326 330 386 392	1312674148110