Prime p₀= 2586178191324487811 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2586175815606526457	0 14 26 42 44 54 114 116 150 152 212 222 224 240 252 266	-2375717961354
SPT(16)	2586175855153015313	0 6 14 24 30 108 126 146 168 188 206 284 290 300 308 314	-2336171472498
SPT(16)	2586176231723103883	0 24 54 66 76 100 118 136 138 156 174 198 208 220 250 274	-1959601383928
SPT(16)	2586176764636904801	0 6 48 60 62 98 116 126 152 162 180 216 218 230 272 278	-1426687583010
STPT(12)	2586177293963787497	0 2 30 32 42 44 72 74 84 86 114 116	-897360700314
STPT(10)	2586177382207825961	0 2 36 38 78 80 120 122 156 158	-809116661850
TPT(14)	2586178452841173107	0 2 12 14 84 86 162 164 222 224 234 236 282 284	261516685296
STPT(10)	2586178634320650737	0 2 30 32 42 44 54 56 84 86	442996162926
SPT(16)	2586178748057011543	0 60 100 126 148 168 190 204 220 234 256 276 298 324 364 424	556732523732
SPT(16)	2586178808257018853	0 6 8 50 68 90 116 128 186 198 224 246 264 306 308 314	616932531042
SPT(16)	2586178840042940537	0 66 72 80 84 170 176 180 236 240 246 332 336 344 350 416	648718452726