Prime p₀= 2124980227829259377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 88 2 40 2 40 2 88 2 (?)
a_n: 0 2 90 92 132 134 174 176 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 88 2 40 2

SPT(16)	2124978523051926089	0 120 158 170 188 192 240 248 252 260 308 312 330 342 380 500	-1704777333288
STPT(10)	2124979040997062351	0 2 6 8 48 50 90 92 96 98	-1186832197026
STPT(10)	2124979530814234847	0 2 30 32 42 44 54 56 84 86	-697015024530
STPT(10)	2124979670609077019	0 2 12 14 90 92 168 170 180 182	-557220182358
SPT(16)	2124979749042291497	0 2 12 32 96 144 192 222 284 314 362 410 474 494 504 506	-478786967880
SPT(16)	2124980189511808637	0 2 32 50 92 126 152 210 236 294 320 354 396 414 444 446	-38317450740
SPT(16)	2124980253697131643	0 30 40 64 66 108 138 154 180 196 226 268 270 294 304 334	25867872266
STPT(10)	2124980556964465157	0 2 24 26 42 44 60 62 84 86	329135205780
STPT(10)	2124981823669825187	0 2 12 14 72 74 132 134 144 146	1595840565810
SPT(16)	2124982010134404181	0 10 18 36 46 48 78 90 148 160 190 192 202 220 228 238	1782305144804
STPT(10)	2124982096168646987	0 2 30 32 42 44 54 56 84 86	1868339387610