Prime p₀= 4018552153658321 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 64 2 88 2 28 2 10 2 40 2 (?)
a_n: 0 2 66 68 156 158 186 188 198 200 240 242
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: 242
Found by: paulteo
db: batch=61, k=12, 64 88 28 10 40

SPT(14)	4018531336339259	0 20 24 54 60 120 132 152 164 224 230 260 264 284	-20817319062
TPT(12)	4018532400650837	0 2 12 14 54 56 144 146 192 194 210 212	-19753007484
SPT(14)	4018532431447249	0 18 28 42 60 72 84 88 100 112 130 144 154 172	-19722211072
SPT(14)	4018533883807699	0 48 70 88 120 130 148 180 198 208 240 258 280 328	-18269850622
SPT(16)	4018534144560041	0 60 72 86 108 110 116 140 168 192 198 200 222 236 248 308	-18009098280
TPT(12)	4018540189161467	0 2 12 14 60 62 72 74 90 92 132 134	-11964496854
TPT(12)	4018557745068329	0 2 12 14 72 74 78 80 138 140 168 170	5591410008
SPT(14)	4018565457903691	0 10 76 90 112 120 126 142 148 156 178 192 258 268	13304245370
SPT(14)	4018567456605113	0 20 44 48 86 98 110 144 156 168 206 210 234 254	15302946792
SPT(14)	4018570903568227	0 12 40 76 84 96 102 154 160 172 180 216 244 256	18749909906
SPT(14)	4018577132133581	0 2 78 92 122 138 168 260 290 306 336 350 426 428	24978475260