Prime p₀= 830138322881172047 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: GLeeM
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	830137466583168859	0 30 70 108 114 142 168 174 268 274 300 328 334 372 412 442	-856298003188
STPT(10)	830137598157939737	0 2 30 32 42 44 54 56 84 86	-724723232310
SPT(16)	830138038436526293	0 26 36 56 78 116 138 200 204 266 288 326 348 368 378 404	-284444645754
SPT(16)	830138128185919621	0 18 22 40 52 60 120 138 160 178 238 246 258 276 280 298	-194695252426
STPT(10)	830138141387449241	0 2 6 8 48 50 90 92 96 98	-181493722806
SPT(16)	830138159411702417	0 2 6 20 24 30 50 86 90 126 146 152 156 170 174 176	-163469469630
SPT(16)	830138347495295639	0 12 30 48 108 110 120 128 132 140 150 152 212 230 248 260	24614123592
SPT(16)	830138444747049643	0 58 60 76 78 144 178 244 270 336 370 436 438 454 456 514	121865877596
SPT(16)	830138594321825171	0 6 26 32 36 60 92 138 140 186 218 242 246 252 272 278	271440653124
STPT(10)	830139098909079527	0 2 12 14 42 44 72 74 84 86	776027907480
SPT(16)	830139170309471641	0 6 40 42 48 58 66 76 132 142 150 160 166 168 202 208	847428299594