Prime p₀= 2423226360210512567 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: [SG-FC] hl
db: batch=82, k=10, 2 10 2 28 2

SPT(16)	2423225023948875571	0 6 12 22 28 66 102 148 150 196 232 270 276 286 292 298	-1336261636996
TPT(14)	2423225252947373681	0 2 78 80 156 158 186 188 198 200 288 290 300 302	-1107263138886
STPT(10)	2423225362698277409	0 2 18 20 30 32 42 44 60 62	-997512235158
STPT(10)	2423225494081731509	0 2 42 44 60 62 78 80 120 122	-866128781058
SPT(16)	2423225952841749329	0 18 50 84 92 110 150 162 200 212 252 270 278 312 344 362	-407368763238
SPT(16)	2423226253587809459	0 14 72 80 108 128 152 170 192 210 234 254 282 290 348 362	-106622703108
SPT(16)	2423226380245501331	0 42 90 98 128 152 156 182 216 242 246 270 300 308 356 398	20034988764
TPT(14)	2423226765188668067	0 2 30 32 102 104 114 116 210 212 234 236 492 494	404978155500
STPT(10)	2423227157163766769	0 2 12 14 90 92 168 170 180 182	796953254202
STPT(10)	2423227288516661411	0 2 36 38 78 80 120 122 156 158	928306148844
STPT(10)	2423227361428417637	0 2 30 32 60 62 90 92 120 122	1001217905070