Prime p₀= 1115113170054648431 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: Theadalus
db: batch=76, k=10, 2 4 2 10 2

SPT(16)	1115111865384796283	0 30 36 90 114 116 140 144 170 174 198 200 224 278 284 314	-1304669852148
SPT(16)	1115111971307425547	0 36 54 80 84 86 114 140 180 206 234 236 240 266 284 320	-1198747222884
STPT(10)	1115112154794447581	0 2 30 32 78 80 126 128 156 158	-1015260200850
STPT(10)	1115112559239448739	0 2 12 14 30 32 48 50 60 62	-610815199692
TPT(14)	1115112704887995659	0 2 180 182 240 242 378 380 390 392 432 434 492 494	-465166652772
TPT(14)	1115113098470818019	0 2 60 62 72 74 138 140 198 200 222 224 312 314	-71583830412
SPT(16)	1115113341310821239	0 8 44 50 78 84 102 140 192 230 248 254 282 288 324 332	171256172808
SPT(16)	1115113412131358383	0 6 34 76 94 100 106 150 160 204 210 216 234 276 304 310	242076709952
TPT(14)	1115113504172256857	0 2 72 74 102 104 162 164 240 242 270 272 300 302	334117608426
TPT(14)	1115113579366281401	0 2 18 20 156 158 168 170 228 230 240 242 258 260	409311632970
STPT(10)	1115113720034168081	0 2 108 110 138 140 168 170 276 278	549979519650