Prime p₀= 1233161007174185231 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: xii5ku
db: batch=77, k=10, 2 4 2 10 2

SPT(16)	1233158756109488077	0 16 52 64 154 214 220 246 310 336 342 402 492 504 540 556	-2251064697154
SPT(16)	1233159875072544893	0 26 80 110 126 140 144 174 326 356 360 374 390 420 474 500	-1132101640338
STPT(10)	1233160358238204239	0 2 18 20 30 32 42 44 60 62	-648935980992
SPT(16)	1233160377669750373	0 16 28 30 76 100 160 166 198 204 264 288 334 336 348 364	-629504434858
TPT(14)	1233160410794944547	0 2 84 86 144 146 192 194 234 236 312 314 324 326	-596379240684
SPT(16)	1233160781967094597	0 12 24 40 82 94 112 144 232 264 282 294 336 352 364 376	-225207090634
SPT(16)	1233161629313247917	0 2 26 90 104 150 210 216 230 236 296 342 356 420 444 446	622139062686
STPT(10)	1233161668442949767	0 2 30 32 42 44 54 56 84 86	661268764536
SPT(16)	1233162339971370869	0 30 92 110 188 210 264 282 320 338 392 414 492 510 572 602	1332797185638
SPT(16)	1233162395584250861	0 8 20 60 66 90 122 140 168 186 218 242 248 288 300 308	1388410065630
STPT(10)	1233162443679508997	0 2 54 56 72 74 90 92 144 146	1436505323766