Prime p₀= 123473245149542369 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 28 2 106 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 210 212 252 254
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: 254
Found by: paulteo
db: batch=67, k=12, 40 28 28 106 40

SPT(14)	123473195636609999	0 38 42 78 102 104 108 134 138 140 164 200 204 242	-49512932370
SPT(14)	123473205875611567	0 10 40 54 66 70 72 94 96 100 112 126 156 166	-39273930802
SPT(14)	123473207535386833	0 18 34 40 76 124 166 258 300 348 384 390 406 424	-37614155536
TPT(12)	123473227286004611	0 2 30 32 96 98 120 122 138 140 156 158	-17863537758
SPT(14)	123473229806410681	0 40 60 82 130 136 150 172 186 192 240 262 282 322	-15343131688
TPT(12)	123473237921370011	0 2 6 8 36 38 78 80 96 98 108 110	-7228172358
SPT(14)	123473254148001853	0 30 36 46 58 88 90 184 186 216 228 238 244 274	8998459484
SPT(14)	123473255321284633	0 34 70 76 78 84 118 156 190 196 198 204 240 274	10171742264
TPT(12)	123473255391683609	0 2 12 14 150 152 198 200 228 230 282 284	10242141240
SPT(14)	123473256988522157	0 26 30 36 84 90 96 164 170 176 224 230 234 260	11838979788
TPT(12)	123473291602010891	0 2 6 8 36 38 60 62 186 188 210 212	46452468522