Prime p₀= 276876588404869559 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 64 2 58 2 52 2 16 2 (?)
a_n: 0 2 12 14 78 80 138 140 192 194 210 212
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: 212
Found by: arkiss
db: batch=69, k=12, 10 64 58 52 16

SPT(14)	276876539673170249	0 18 30 42 72 74 114 128 168 170 200 212 224 242	-48731699310
TPT(12)	276876556468309247	0 2 30 32 60 62 72 74 84 86 90 92	-31936560312
SPT(14)	276876564510840011	0 42 78 86 110 156 158 240 242 288 312 320 356 398	-23894029548
SPT(14)	276876572901908059	0 10 42 58 72 112 124 138 150 190 204 220 252 262	-15502961500
SPT(14)	276876576935146477	0 16 22 42 46 102 106 126 130 186 190 210 216 232	-11469723082
SPT(14)	276876579735513689	0 42 50 114 122 138 144 218 224 240 248 312 320 362	-8669355870
TPT(14)	276876611317409657	0 2 30 32 54 56 162 164 204 206 210 212 234 236	22912540098
SPT(14)	276876622240437889	0 24 70 82 88 102 108 154 160 174 180 192 238 262	33835568330
SPT(14)	276876640749261881	0 18 32 38 60 80 102 236 258 278 300 306 320 338	52344392322
SPT(14)	276876675642316033	0 18 78 88 120 130 148 168 186 196 228 238 298 316	87237446474
SPT(14)	276876688169467187	0 36 62 90 96 110 120 146 156 170 176 204 230 266	99764597628