Prime p₀= 469501253258660321 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 10 2 118 2 4 2 28 2 (?)
a_n: 0 2 18 20 30 32 150 152 156 158 186 188
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: 188
Found by: gemini8
db: batch=70, k=12, 16 10 118 4 28

SPT(14)	469501136468634541	0 22 42 60 76 78 102 196 220 222 238 256 276 298	-116790025780
SPT(14)	469501186495007617	0 30 40 90 112 132 150 184 202 222 244 294 304 334	-66763652704
SPT(14)	469501204336162697	0 2 56 62 86 102 144 152 194 210 234 240 294 296	-48922497624
TPT(12)	469501212252236429	0 2 18 20 72 74 102 104 150 152 168 170	-41006423892
SPT(14)	469501221263957459	0 12 30 54 104 114 122 282 290 300 350 374 392 404	-31994702862
TPT(12)	469501245248846267	0 2 30 32 114 116 120 122 132 134 144 146	-8009814054
SPT(14)	469501253929752899	0 2 32 50 74 84 114 140 170 180 204 222 252 254	671092578
TPT(12)	469501259516256437	0 2 30 32 54 56 114 116 162 164 264 266	6257596116
SPT(14)	469501268760300481	0 18 22 28 66 90 102 136 148 172 210 216 220 238	15501640160
SPT(14)	469501280412215797	0 6 16 40 72 82 142 264 324 334 366 390 400 406	27153555476
SPT(14)	469501282975418249	0 8 20 30 48 98 110 150 162 212 230 240 252 260	29716757928