Prime p₀= 51031969055226161 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 154 2 10 2 28 2 136 2 (?)
a_n: 0 2 30 32 186 188 198 200 228 230 366 368
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: 368
Found by: davidBAM
db: batch=65, k=12, 28 154 10 28 136

SPT(16)	51031892153895379	0 12 34 102 112 114 124 154 240 270 280 282 292 360 382 394	-76901330782
SPT(16)	51031903591348787	0 2 32 44 50 56 74 90 116 132 150 156 162 174 204 206	-65463877374
SPT(14)	51031907460470231	0 78 102 126 150 152 206 282 336 338 362 386 410 488	-61594755930
SPT(14)	51031920078873661	0 12 36 76 82 100 160 168 228 246 252 292 316 328	-48976352500
SPT(14)	51031940824266907	0 60 70 102 114 136 172 234 270 292 304 336 346 406	-28230959254
SPT(14)	51031955539639507	0 4 24 34 60 94 112 114 132 166 192 202 222 226	-13515586654
TPT(12)	51031984282759847	0 2 12 14 42 44 90 92 132 134 204 206	15227533686
SPT(14)	51032003253614101	0 10 52 66 70 78 108 190 220 228 232 246 288 298	34198387940
SPT(14)	51032022013820849	0 2 8 42 50 84 102 140 158 192 200 234 240 242	52958594688
SPT(14)	51032022724425209	0 8 20 38 60 78 90 110 122 140 162 180 192 200	53669199048
SPT(16)	51032023407225643	0 4 16 24 30 58 66 84 100 118 126 154 160 168 180 184	54351999482