Prime p₀= 26074235968856807 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 10 2 40 2 28 2 16 2 (?)
a_n: 0 2 30 32 42 44 84 86 114 116 132 134
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: 134
Found by: ChelseaOilman
db: batch=65, k=12, 28 10 40 28 16

SPT(14)	26074208213070233	0 20 54 66 84 146 194 210 258 320 338 350 384 404	-27755786574
SPT(14)	26074215993947959	0 10 28 52 54 78 84 148 154 178 180 204 222 232	-19974908848
SPT(14)	26074219950542161	0 12 40 46 58 102 112 156 166 210 222 228 256 268	-16018314646
TPT(12)	26074223636147549	0 2 90 92 132 134 198 200 228 230 252 254	-12332709258
SPT(14)	26074226874851041	0 46 90 102 108 112 130 168 186 190 196 208 252 298	-9094005766
SPT(14)	26074227593086921	0 30 48 66 70 100 196 222 318 348 352 370 388 418	-8375769886
SPT(14)	26074238846286409	0 22 58 72 88 108 120 142 154 174 190 204 240 262	2877429602
SPT(14)	26074252257132347	0 14 20 24 42 60 90 224 254 272 290 294 300 314	16288275540
TPT(12)	26074256977236197	0 2 30 32 72 74 90 92 114 116 162 164	21008379390
TPT(12)	26074261691375309	0 2 42 44 60 62 168 170 222 224 228 230	25722518502
SPT(14)	26074267104297271	0 10 18 58 90 142 160 210 228 280 312 352 360 370	31135440464