Prime p₀= 1586473735257871919 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: crashtech
db: batch=78, k=10, 2 16 2 10 2

SPT(16)	1586472585252534653	0 38 50 78 84 104 108 126 128 146 150 170 176 204 216 254	-1150005337266
SPT(16)	1586472682837269407	0 26 42 66 96 126 164 186 230 252 290 320 350 374 390 416	-1052420602512
STPT(10)	1586473095155135951	0 2 30 32 78 80 126 128 156 158	-640102735968
TPT(14)	1586473348195797569	0 2 48 50 60 62 72 74 300 302 378 380 420 422	-387062074350
SPT(20)	1586473529153765333	0 30 56 68 78 96 110 126 146 168 266 288 308 324 338 356 366 378 404 434	-206104106586
TPT(14)	1586473648418218139	0 2 72 74 138 140 180 182 192 194 312 314 348 350	-86839653780
STPT(10)	1586473753461660797	0 2 30 32 42 44 54 56 84 86	18203788878
STPT(10)	1586473944919588997	0 2 30 32 42 44 54 56 84 86	209661717078
STPT(10)	1586474293537706939	0 2 42 44 60 62 78 80 120 122	558279835020
SPT(16)	1586474897014316719	0 28 102 130 174 180 198 208 384 394 412 418 462 490 564 592	1161756444800
STPT(10)	1586474985208968497	0 2 24 26 42 44 60 62 84 86	1249951096578