Prime p₀= 2829589187182868837 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2829587316492934919	0 12 32 38 60 84 98 122 180 204 218 242 264 270 290 302	-1870689933918
SPT(16)	2829587481360129559	0 12 42 54 84 88 108 150 172 214 234 238 268 280 310 322	-1705822739278
SPT(16)	2829587687485050439	0 70 72 78 82 90 120 132 148 160 190 198 202 208 210 280	-1499697818398
SPT(16)	2829588871602473641	0 6 12 16 40 42 90 160 162 232 280 282 306 310 316 322	-315580395196
SPT(16)	2829589030570841897	0 12 14 42 74 114 116 144 152 180 182 222 254 282 284 296	-156612026940
STPT(10)	2829589154587760837	0 2 30 32 42 44 54 56 84 86	-32595108000
SPT(16)	2829589881696618163	0 28 48 76 96 114 118 154 210 246 250 268 288 316 336 364	694513749326
STPT(12)	2829590301424992629	0 2 12 14 102 104 108 110 198 200 210 212	1114242123792
STPT(10)	2829590491484753987	0 2 12 14 42 44 72 74 84 86	1304301885150
SPT(16)	2829590507095602017	0 26 42 56 60 144 150 182 204 236 242 326 330 344 360 386	1319912733180
SPT(16)	2829590717493182527	0 10 54 66 70 76 100 114 136 150 174 180 184 196 240 250	1530310313690