Prime p₀= 2827052669312803427 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: JayPi
db: batch=82, k=10, 2 10 2 28 2

TPT(14)	2827051355529975527	0 2 30 32 42 44 174 176 324 326 330 332 354 356	-1313782827900
SPT(16)	2827051470703873339	0 10 24 58 78 90 94 112 120 138 142 154 174 208 222 232	-1198608930088
SPT(16)	2827052016170163503	0 38 54 108 126 150 156 170 234 248 254 278 296 350 366 404	-653142639924
STPT(10)	2827052293293113927	0 2 30 32 42 44 54 56 84 86	-376019689500
SPT(16)	2827052529985624397	0 44 72 74 90 146 174 182 204 212 240 296 312 314 342 386	-139327179030
SPT(16)	2827052639233721081	0 60 122 152 156 170 242 248 270 276 348 362 366 396 458 518	-30079082346
SPT(16)	2827052881776737491	0 10 30 36 66 78 100 118 198 216 238 250 280 286 306 316	212463934064
STPT(10)	2827053310905608957	0 2 12 14 42 44 72 74 84 86	641592805530
SPT(16)	2827053322360744669	0 40 52 58 70 82 90 100 132 142 150 162 174 180 192 232	653047941242
SPT(16)	2827053724347199679	0 50 54 72 104 120 134 138 164 168 182 198 230 248 252 302	1055034396252
STPT(10)	2827053726539814521	0 2 36 38 78 80 120 122 156 158	1057227011094