Prime p₀= 1117628227865332217 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: crashtech
db: batch=76, k=10, 2 58 2 10 2

STPT(12)	1117627889898769829	0 2 30 32 72 74 108 110 150 152 180 182	-337966562388
SPT(16)	1117628106194804261	0 12 26 78 122 126 150 206 252 308 332 336 380 432 446 458	-121670527956
SPT(16)	1117628136159678167	0 30 96 110 150 192 230 272 300 342 380 422 462 476 542 572	-91705654050
STPT(10)	1117628141071447301	0 2 6 8 18 20 30 32 36 38	-86793884916
SPT(16)	1117628167654294979	0 18 42 68 102 134 210 222 260 272 348 380 414 440 464 482	-60211037238
SPT(16)	1117628190867584743	0 34 36 90 118 130 138 144 190 196 204 216 244 298 300 334	-36997747474
SPT(16)	1117628612952350797	0 36 42 46 60 82 114 124 162 172 204 226 240 244 250 286	385087018580
TPT(14)	1117628619555038027	0 2 84 86 150 152 222 224 294 296 390 392 414 416	391689705810
STPT(10)	1117628772046827581	0 2 30 32 78 80 126 128 156 158	544181495364
TPT(14)	1117629227480052281	0 2 120 122 126 128 156 158 198 200 210 212 276 278	999614720064
TPT(14)	1117629326492288549	0 2 30 32 162 164 168 170 240 242 288 290 342 344	1098626956332