Prime p₀= 261348459197160029 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 16 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 78 80 90 92 102 104 162 164
All 12 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 164
Found by: paulteo
db: batch=69, k=12, 58 16 10 10 58

SPT(14)	261348413988352429	0 30 78 102 118 142 144 268 270 294 310 334 382 412	-45208807600
SPT(14)	261348423533058913	0 28 46 58 78 88 126 130 168 178 198 210 228 256	-35664101116
TPT(12)	261348426388541759	0 2 78 80 150 152 180 182 192 194 288 290	-32808618270
SPT(14)	261348433893847051	0 22 30 36 66 70 72 76 78 82 112 118 126 148	-25303312978
SPT(14)	261348435849419549	0 42 44 60 68 74 78 134 138 144 152 168 170 212	-23347740480
SPT(14)	261348447295809229	0 58 102 118 124 160 184 198 222 258 264 280 324 382	-11901350800
SPT(14)	261348460642405219	0 12 28 42 48 52 54 88 90 94 100 114 130 142	1445245190
SPT(14)	261348477083520667	0 22 36 42 66 96 112 120 136 166 190 196 210 232	17886360638
SPT(14)	261348480197509333	0 24 48 100 114 136 184 270 318 340 354 406 430 454	21000349304
STPT(10)	261348504671578991	0 2 6 8 18 20 30 32 36 38	45474418962
SPT(16)	261348511602205073	0 14 36 44 60 98 116 144 320 348 366 404 420 428 450 464	52405045044