Prime p₀= 527641485072264881 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 34 2 28 2 58 2 40 2 10 2 (?)
a_n: 0 2 36 38 66 68 126 128 168 170 180 182
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: 182
Found by: gemini8
db: batch=71, k=12, 34 28 58 40 10

SPT(14)	527641423817085197	0 36 42 54 90 116 176 180 240 266 302 314 320 356	-61255179684
STPT(10)	527641429039434287	0 2 30 32 42 44 54 56 84 86	-56032830594
TPT(12)	527641433399836619	0 2 78 80 120 122 222 224 348 350 360 362	-51672428262
SPT(14)	527641459432895149	0 12 34 60 70 72 84 298 310 312 322 348 370 382	-25639369732
SPT(14)	527641466210329057	0 4 54 60 70 82 114 142 174 186 196 202 252 256	-18861935824
SPT(16)	527641470736442089	0 34 42 60 114 118 132 144 238 250 264 268 322 340 348 382	-14335822792
SPT(14)	527641501758427981	0 18 40 42 52 70 88 192 210 228 238 240 262 280	16686163100
STPT(10)	527641513617144467	0 2 60 62 102 104 144 146 204 206	28544879586
SPT(16)	527641524078229753	0 30 34 36 58 64 90 96 178 184 210 216 238 240 244 274	39005964872
TPT(12)	527641566067051589	0 2 18 20 30 32 138 140 150 152 180 182	80994786708
SPT(14)	527641606087893953	0 8 24 140 164 216 230 264 278 330 354 470 486 494	121015629072