Prime p₀= 1270456052072274167 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: mikey
db: batch=77, k=10, 2 58 2 10 2

SPT(16)	1270455362703762343	0 6 36 58 66 70 148 154 240 246 324 328 336 358 388 394	-689368511824
SPT(16)	1270455565536363407	0 24 32 60 80 182 234 270 314 350 402 504 524 552 560 584	-486535910760
TPT(14)	1270455743407330301	0 2 48 50 150 152 288 290 336 338 360 362 378 380	-308664943866
TPT(14)	1270455759490078169	0 2 30 32 150 152 180 182 222 224 360 362 390 392	-292582195998
SPT(16)	1270455892670964653	0 8 30 44 78 80 84 86 168 170 174 176 210 224 246 254	-159401309514
STPT(10)	1270456018492669037	0 2 30 32 42 44 54 56 84 86	-33579605130
SPT(16)	1270456575664362197	0 12 62 72 114 132 152 156 170 174 194 212 254 264 314 326	523592088030
SPT(16)	1270456702747949359	0 12 24 40 82 88 114 144 178 208 234 240 282 298 310 322	650675675192
STPT(10)	1270457337333027587	0 2 120 122 162 164 204 206 324 326	1285260753420
STPT(10)	1270457455343418161	0 2 96 98 138 140 180 182 276 278	1403271143994
STPT(12)	1270457482987255361	0 2 30 32 78 80 120 122 168 170 198 200	1430914981194