Prime p₀= 162774066974764379 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 76 2 40 2 16 2 28 2 10 2 (?)
a_n: 0 2 78 80 120 122 138 140 168 170 180 182
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: 182
Found by: emoga
db: batch=67, k=12, 76 40 16 28 10

SPT(14)	162774020490744997	0 6 46 66 94 102 112 144 154 162 190 210 250 256	-46484019382
SPT(14)	162774022109649089	0 12 54 60 84 122 152 240 270 308 332 338 380 392	-44865115290
SPT(14)	162774023530534459	0 18 28 40 54 60 70 72 82 88 102 114 124 142	-43444229920
SPT(14)	162774027431151691	0 10 16 78 100 102 136 162 196 198 220 282 288 298	-39543612688
SPT(14)	162774043358233121	0 90 140 150 152 182 188 210 216 246 248 258 308 398	-23616531258
SPT(14)	162774055626500179	0 12 88 102 108 162 168 292 298 352 358 372 448 460	-11348264200
SPT(14)	162774100693345721	0 30 32 48 66 108 140 198 230 272 290 306 308 338	33718581342
SPT(14)	162774105277933711	0 16 18 22 28 42 48 130 136 150 156 160 162 178	38303169332
TPT(12)	162774128416297241	0 2 6 8 48 50 198 200 228 230 258 260	61441532862
TPT(12)	162774130673780369	0 2 18 20 120 122 162 164 228 230 240 242	63699015990
SPT(14)	162774131594156513	0 6 60 68 110 138 144 170 176 204 246 254 308 314	64619392134