Prime p₀= 1312239173941138757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: stoneageman
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1312237251269769541	0 10 12 58 72 118 192 222 346 376 450 496 510 556 558 568	-1922671369216
STPT(10)	1312237255759839977	0 2 12 14 42 44 72 74 84 86	-1918181298780
SPT(16)	1312238001250941521	0 18 32 38 72 96 210 242 246 278 392 416 450 456 470 488	-1172690197236
SPT(16)	1312238027635895981	0 8 38 60 62 80 122 180 188 246 288 306 308 330 360 368	-1146305242776
SPT(16)	1312238108542080451	0 28 78 90 130 160 166 168 208 210 216 246 286 298 348 376	-1065399058306
SPT(16)	1312238644201071571	0 6 76 88 102 130 132 138 160 166 168 196 210 222 292 298	-529740067186
SPT(16)	1312239367236369419	0 8 12 42 72 152 170 182 198 210 228 308 338 368 372 380	193295230662
TPT(14)	1312240086147109631	0 2 66 68 96 98 108 110 120 122 156 158 180 182	912205970874
SPT(20)	1312240220740279991	0 2 12 62 68 72 116 150 156 158 180 182 188 222 266 270 276 326 336 338	1046799141234
STPT(10)	1312240377975006479	0 2 18 20 30 32 42 44 60 62	1204033867722
STPT(12)	1312240854650132969	0 2 18 20 42 44 48 50 72 74 90 92	1680708994212