Prime p₀= 2423410164923874827 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: [AF>Amis des Lapins] Bipleouf
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2423408380245604151	0 8 12 32 38 56 92 108 110 126 162 180 186 206 210 218	-1784678270676
SPT(16)	2423408683447218707	0 56 66 74 92 102 140 144 182 186 224 234 252 260 270 326	-1481476656120
TPT(14)	2423408996565707147	0 2 30 32 72 74 90 92 252 254 282 284 324 326	-1168358167680
STPT(10)	2423409191151315977	0 2 30 32 42 44 54 56 84 86	-973772558850
SPT(16)	2423409375291808433	0 14 18 38 74 96 158 164 210 216 278 300 336 356 360 374	-789632066394
SPT(16)	2423409751588676021	0 8 42 62 66 72 86 96 122 132 146 152 156 176 210 218	-413335198806
STPT(10)	2423410270915680227	0 2 24 26 42 44 60 62 84 86	105991805400
SPT(16)	2423410777421096159	0 42 68 138 140 152 180 222 230 272 300 312 314 384 410 452	612497221332
SPT(16)	2423411096752903417	0 6 10 24 46 54 66 96 130 160 172 180 202 216 220 226	931829028590
STPT(10)	2423411229961576331	0 2 36 38 78 80 120 122 156 158	1065037701504
TPT(14)	2423411675792373401	0 2 18 20 48 50 78 80 90 92 408 410 420 422	1510868498574