Prime p₀= 2124979530814234847 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Landjunge
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2124976416407091503	0 26 44 90 110 126 144 156 254 266 284 300 320 366 384 410	-3114407143344
SPT(16)	2124976655865691699	0 4 40 70 78 100 114 130 222 238 252 274 282 312 348 352	-2874948543148
STPT(10)	2124976712065257437	0 2 72 74 102 104 132 134 204 206	-2818748977410
STPT(10)	2124977845129668071	0 2 6 8 48 50 90 92 96 98	-1685684566776
SPT(16)	2124978523051926089	0 120 158 170 188 192 240 248 252 260 308 312 330 342 380 500	-1007762308758
STPT(10)	2124979040997062351	0 2 6 8 48 50 90 92 96 98	-489817172496
STPT(10)	2124979670609077019	0 2 12 14 90 92 168 170 180 182	139794842172
SPT(16)	2124979749042291497	0 2 12 32 96 144 192 222 284 314 362 410 474 494 504 506	218228056650
SPT(16)	2124980189511808637	0 2 32 50 92 126 152 210 236 294 320 354 396 414 444 446	658697573790
STPT(10)	2124980227829259377	0 2 90 92 132 134 174 176 264 266	697015024530
SPT(16)	2124980253697131643	0 30 40 64 66 108 138 154 180 196 226 268 270 294 304 334	722882896796