Prime p₀= 26074261691375309 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 16 2 106 2 52 2 4 2 (?)
a_n: 0 2 42 44 60 62 168 170 222 224 228 230
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: 230
Found by: ChelseaOilman
db: batch=65, k=12, 40 16 106 52 4

SPT(14)	26074226874851041	0 46 90 102 108 112 130 168 186 190 196 208 252 298	-34816524268
SPT(14)	26074227593086921	0 30 48 66 70 100 196 222 318 348 352 370 388 418	-34098288388
TPT(12)	26074235968856807	0 2 30 32 42 44 84 86 114 116 132 134	-25722518502
SPT(14)	26074238846286409	0 22 58 72 88 108 120 142 154 174 190 204 240 262	-22845088900
SPT(14)	26074252257132347	0 14 20 24 42 60 90 224 254 272 290 294 300 314	-9434242962
TPT(12)	26074256977236197	0 2 30 32 72 74 90 92 114 116 162 164	-4714139112
SPT(14)	26074267104297271	0 10 18 58 90 142 160 210 228 280 312 352 360 370	5412921962
SPT(14)	26074270974970423	0 6 24 30 34 36 58 126 148 150 154 160 178 184	9283595114
SPT(14)	26074275135503579	0 8 20 74 90 144 150 158 164 218 234 288 300 308	13444128270
SPT(14)	26074276210220503	0 16 30 66 150 156 184 210 238 244 328 364 378 394	14518845194
SPT(14)	26074283663117009	0 14 20 42 48 50 90 92 132 134 140 162 168 182	21971741700