Prime p₀= 389779489312269377 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 58 2 10 2 118 2 58 2 16 2 (?)
a_n: 0 2 60 62 72 74 192 194 252 254 270 272
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: 272
Found by: Cruncher Pete
db: batch=70, k=12, 58 10 118 58 16

SPT(14)	389779299442742821	0 22 58 78 120 148 166 192 210 238 280 300 336 358	-189869526556
SPT(14)	389779330324420187	0 12 42 72 156 180 186 210 216 240 324 354 384 396	-158987849190
SPT(14)	389779409689066741	0 12 18 66 88 100 102 106 108 120 142 190 196 208	-79623202636
SPT(20)	389779442687825819	0 44 48 80 84 104 110 140 150 168 254 272 282 312 318 338 342 374 378 422	-46624443558
SPT(14)	389779457541964603	0 16 18 24 36 46 88 126 168 178 190 196 198 214	-31770304774
SPT(14)	389779484405293711	0 18 28 40 42 60 70 78 88 106 108 120 130 148	-4906975666
SPT(14)	389779493389404337	0 52 60 90 112 114 150 154 190 192 214 244 252 304	4077134960
SPT(14)	389779525524093581	0 2 30 56 158 182 198 200 216 240 342 368 396 398	36211824204
SPT(16)	389779533709487843	0 8 20 48 60 78 98 110 126 138 158 176 188 216 228 236	44397218466
SPT(14)	389779561453946401	0 12 22 40 48 58 70 78 90 100 108 126 136 148	72141677024
SPT(14)	389779563870735803	0 8 36 66 120 128 134 150 156 164 218 248 276 284	74558466426