Prime p₀= 3879111348204282101 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: Conan
db: batch=84, k=10, 2 4 2 10 2

SPT(16)	3879109271010592849	0 94 118 154 198 244 268 310 312 354 378 424 468 504 528 622	-2077193689252
SPT(16)	3879110117494143251	0 66 68 110 132 140 158 192 266 300 318 326 348 390 392 458	-1230710138850
SPT(16)	3879110418032339453	0 74 110 126 140 144 146 150 344 348 350 354 368 384 420 494	-930171942648
SPT(16)	3879110677863624527	0 84 122 126 132 150 156 164 252 260 266 284 290 294 332 416	-670340657574
STPT(10)	3879111017977949627	0 2 30 32 42 44 54 56 84 86	-330226332474
STPT(10)	3879111277048141229	0 2 18 20 30 32 42 44 60 62	-71156140872
SPT(16)	3879111491253162761	0 2 32 42 56 60 86 90 98 102 128 132 146 156 186 188	143048880660
STPT(10)	3879111522190713839	0 2 18 20 30 32 42 44 60 62	173986431738
STPT(10)	3879112148715846347	0 2 30 32 42 44 54 56 84 86	800511564246
SPT(16)	3879112413071185051	0 16 42 66 88 112 126 156 172 202 216 240 262 286 312 328	1064866902950
STPT(12)	3879113422792217711	0 2 36 38 48 50 78 80 90 92 126 128	2074587935610