Prime p₀= 123659436200611721 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 136 2 58 2 172 2 16 2 (?)
a_n: 0 2 18 20 156 158 216 218 390 392 408 410
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: 410
Found by: paulteo
db: batch=67, k=12, 16 136 58 172 16

SPT(14)	123659355469029901	0 28 52 70 72 112 118 132 138 178 180 198 222 250	-80731581820
SPT(14)	123659372878427173	0 6 30 76 78 88 90 154 156 166 168 214 238 244	-63322184548
TPT(12)	123659373326347841	0 2 78 80 90 92 168 170 246 248 288 290	-62874263880
SPT(14)	123659375173787021	0 38 48 60 72 90 122 126 158 176 188 200 210 248	-61026824700
TPT(12)	123659395652284769	0 2 12 14 132 134 138 140 210 212 222 224	-40548326952
SPT(14)	123659413387607287	0 24 36 84 100 106 112 144 150 156 172 220 232 256	-22813004434
SPT(14)	123659485455235789	0 10 22 28 70 78 82 120 124 132 174 180 192 202	49254624068
SPT(14)	123659505918404483	0 26 44 74 96 108 126 128 146 158 180 210 228 254	69717792762
SPT(14)	123659527010566933	0 18 46 64 70 88 100 114 126 144 150 168 196 214	90809955212
SPT(16)	123659528100667693	0 60 94 96 198 210 276 280 294 298 364 376 478 480 514 574	91900055972
STPT(10)	123659535523108181	0 2 36 38 78 80 120 122 156 158	99322496460