Prime p₀= 2423409191151315977 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)	2423407905172687087	0 4 22 30 36 72 102 154 282 334 364 400 406 414 432 436	-1285978628890
SPT(16)	2423407935296798323	0 34 58 76 84 100 136 156 178 198 234 250 258 276 300 334	-1255854517654
STPT(10)	2423408031448873949	0 2 18 20 30 32 42 44 60 62	-1159702442028
SPT(16)	2423408380245604151	0 8 12 32 38 56 92 108 110 126 162 180 186 206 210 218	-810905711826
SPT(16)	2423408683447218707	0 56 66 74 92 102 140 144 182 186 224 234 252 260 270 326	-507704097270
TPT(14)	2423408996565707147	0 2 30 32 72 74 90 92 252 254 282 284 324 326	-194585608830
SPT(16)	2423409375291808433	0 14 18 38 74 96 158 164 210 216 278 300 336 356 360 374	184140492456
SPT(16)	2423409751588676021	0 8 42 62 66 72 86 96 122 132 146 152 156 176 210 218	560437360044
STPT(10)	2423410164923874827	0 2 30 32 42 44 54 56 84 86	973772558850
STPT(10)	2423410270915680227	0 2 24 26 42 44 60 62 84 86	1079764364250
SPT(16)	2423410777421096159	0 42 68 138 140 152 180 222 230 272 300 312 314 384 410 452	1586269780182