Prime p₀= 511974128787132281 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 4 2 40 2 106 2 28 2 22 2 (?)
a_n: 0 2 6 8 48 50 156 158 186 188 210 212
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: mcf2020
db: batch=71, k=12, 4 40 106 28 22

SPT(14)	511974077088004367	0 2 6 30 42 50 72 74 96 104 116 140 144 146	-51699127914
SPT(14)	511974086864776189	0 52 54 64 150 208 234 238 264 322 408 418 420 472	-41922356092
SPT(14)	511974092657463577	0 4 10 12 30 52 72 82 102 124 142 144 150 154	-36129668704
SPT(14)	511974099850878871	0 40 48 66 78 118 138 178 198 238 250 268 276 316	-28936253410
SPT(16)	511974123337083047	0 14 20 42 50 72 120 132 134 146 194 216 224 246 252 266	-5450049234
SPT(14)	511974123912035381	0 18 48 86 108 126 198 218 290 308 330 368 398 416	-4875096900
SPT(14)	511974131075904491	0 2 30 36 60 66 78 80 92 98 122 128 156 158	2288772210
SPT(14)	511974134678664011	0 102 120 188 200 222 228 260 266 288 300 368 386 488	5891531730
SPT(14)	511974137534376821	0 30 38 42 72 80 188 192 300 308 338 342 350 380	8747244540
SPT(14)	511974173827455043	0 28 48 78 90 94 124 204 234 238 250 280 300 328	45040322762
TPT(12)	511974213155334569	0 2 12 14 78 80 90 92 132 134 162 164	84368202288