Prime p₀= 1232711097913615499 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: X_FISH
db: batch=77, k=10, 2 10 2 76 2

SPT(16)	1232708830891026253	0 6 24 64 178 196 240 244 270 274 318 336 450 490 508 514	-2267022589246
STPT(10)	1232709017113612151	0 2 36 38 78 80 120 122 156 158	-2080800003348
SPT(16)	1232709167229394891	0 60 88 106 126 148 178 196 222 240 270 292 312 330 358 418	-1930684220608
STPT(10)	1232709416030714351	0 2 36 38 78 80 120 122 156 158	-1681882901148
SPT(16)	1232710261922931917	0 2 14 24 72 74 80 104 210 234 240 242 290 300 312 314	-835990683582
TPT(14)	1232711031197910959	0 2 48 50 78 80 120 122 168 170 210 212 288 290	-66715704540
STPT(10)	1232711297439501791	0 2 6 8 18 20 30 32 36 38	199525886292
STPT(10)	1232711447708219819	0 2 18 20 30 32 42 44 60 62	349794604320
SPT(16)	1232711532840267707	0 30 54 56 66 132 146 182 264 300 314 380 390 392 416 446	434926652208
STPT(10)	1232711610482275289	0 2 42 44 60 62 78 80 120 122	512568659790
SPT(16)	1232711698999076057	0 2 14 26 62 84 86 116 210 240 242 264 300 312 324 326	601085460558