Prime p₀= 2303425647896544287 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=81, k=10, 2 28 2 10 2

SPT(16)	2303424001213168133	0 48 110 138 144 174 216 224 240 248 290 320 326 354 416 464	-1646683376154
TPT(14)	2303424649678850147	0 2 72 74 84 86 102 104 114 116 132 134 162 164	-998217694140
SPT(16)	2303424715879690703	0 18 54 150 156 158 164 198 266 300 306 308 314 410 446 464	-932016853584
STPT(10)	2303424726792531647	0 2 30 32 42 44 54 56 84 86	-921104012640
SPT(16)	2303425176713090029	0 4 22 34 70 118 150 160 162 172 204 252 288 300 318 322	-471183454258
SPT(16)	2303425406122951469	0 30 42 62 84 102 108 128 144 164 170 188 210 230 242 272	-241773592818
SPT(16)	2303425760269959001	0 18 40 42 46 52 136 150 208 222 306 312 316 318 340 358	112373414714
STPT(10)	2303425931680182191	0 2 36 38 78 80 120 122 156 158	283783637904
STPT(10)	2303425959727959719	0 2 30 32 120 122 210 212 240 242	311831415432
TPT(14)	2303426471943346931	0 2 18 20 60 62 96 98 126 128 210 212 240 242	824046802644
SPT(16)	2303426826218549797	0 10 34 76 90 106 124 156 160 192 210 226 240 282 306 316	1178322005510