Prime p₀= 2124975515366192297 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)	2124973822642210847	0 2 20 24 72 84 86 90 146 150 152 164 212 216 234 236	-1692723981450
SPT(16)	2124973874468077777	0 124 144 154 156 180 184 210 256 282 286 310 312 322 342 466	-1640898114520
TPT(14)	2124974437046424569	0 2 90 92 132 134 168 170 240 242 300 302 342 344	-1078319767728
STPT(10)	2124974588121678539	0 2 120 122 180 182 240 242 360 362	-927244513758
STPT(10)	2124974841545330387	0 2 30 32 42 44 54 56 84 86	-673820861910
STPT(10)	2124974878932522059	0 2 18 20 60 62 102 104 120 122	-636433670238
SPT(16)	2124976190189957779	0 30 42 54 78 114 154 160 162 168 208 244 268 280 292 322	674823765482
SPT(16)	2124976416407091503	0 26 44 90 110 126 144 156 254 266 284 300 320 366 384 410	901040899206
SPT(16)	2124976655865691699	0 4 40 70 78 100 114 130 222 238 252 274 282 312 348 352	1140499499402
STPT(10)	2124976712065257437	0 2 72 74 102 104 132 134 204 206	1196699065140
STPT(10)	2124977845129668071	0 2 6 8 48 50 90 92 96 98	2329763475774