Prime p₀= 135978575639159039 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 46 2 28 2 58 2 10 2 208 2 (?)
a_n: 0 2 48 50 78 80 138 140 150 152 360 362
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: 362
Found by: [B@P] Daniel
db: batch=67, k=12, 46 28 58 10 208

SPT(14)	135978490436953781	0 36 56 60 68 96 138 140 182 210 218 222 242 278	-85202205258
SPT(14)	135978496999199213	0 20 78 128 140 156 168 176 188 204 216 266 324 344	-78639959826
SPT(14)	135978513336657703	0 18 28 34 40 60 70 144 154 174 180 186 196 214	-62302501336
SPT(14)	135978539789410387	0 12 16 46 66 76 82 144 150 160 180 210 214 226	-35849748652
SPT(14)	135978554801044801	0 28 70 112 118 132 160 180 208 222 228 270 312 340	-20838114238
TPT(12)	135978558963317489	0 2 18 20 42 44 72 74 168 170 210 212	-16675841550
SPT(14)	135978598803058589	0 2 8 30 44 54 74 138 158 168 182 204 210 212	23163899550
SPT(20)	135978608516845231	0 16 18 30 42 60 70 118 130 132 166 168 180 228 238 256 268 280 282 298	32877686192
SPT(16)	135978668557185793	0 16 48 70 76 78 108 124 150 166 196 198 204 226 258 274	92918026754
SPT(14)	135978670406890079	0 42 48 54 62 80 104 108 132 150 158 164 170 212	94767731040
SPT(14)	135978681143799931	0 72 76 90 136 142 162 196 216 222 268 282 286 358	105504640892