Prime p₀= 1006316253652728827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=76, k=10, 2 52 2 16 2

SPT(16)	1006315566656133917	0 30 42 96 120 140 162 176 186 200 222 242 266 320 332 362	-686996594910
TPT(14)	1006315783703718377	0 2 42 44 114 116 162 164 180 182 192 194 204 206	-469949010450
SPT(16)	1006315814475198949	0 18 24 88 94 100 124 130 192 198 222 228 234 298 304 322	-439177529878
SPT(16)	1006316041639497191	0 32 56 96 102 186 212 240 248 276 302 386 392 432 456 488	-212013231636
STPT(10)	1006316130674967941	0 2 6 8 48 50 90 92 96 98	-122977760886
STPT(10)	1006316138345609459	0 2 18 20 30 32 42 44 60 62	-115307119368
SPT(16)	1006316259350532929	0 32 38 50 102 110 120 152 168 200 210 218 270 282 288 320	5697804102
SPT(16)	1006316326603624031	0 2 36 42 66 98 102 116 132 146 150 182 206 212 246 248	72950895204
SPT(16)	1006316790297348919	0 12 42 54 82 132 138 160 162 184 190 240 268 280 310 322	536644620092
SPT(16)	1006316869493618821	0 10 22 78 90 112 118 150 178 210 216 238 250 306 318 328	615840889994
TPT(14)	1006316932199645039	0 2 30 32 72 74 180 182 240 242 318 320 330 332	678546916212