Prime p₀= 123473227286004611 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 28 2 64 2 22 2 16 2 16 2 (?)
a_n: 0 2 30 32 96 98 120 122 138 140 156 158
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: 158
Found by: paulteo
db: batch=67, k=12, 28 64 22 16 16

TPT(12)	123473169143270579	0 2 12 14 78 80 90 92 120 122 162 164	-58142734032
SPT(14)	123473179004573051	0 12 90 162 222 288 290 348 350 416 476 548 626 638	-48281431560
SPT(14)	123473189878880389	0 58 64 70 78 94 118 144 168 184 192 198 204 262	-37407124222
SPT(14)	123473195636609999	0 38 42 78 102 104 108 134 138 140 164 200 204 242	-31649394612
SPT(14)	123473205875611567	0 10 40 54 66 70 72 94 96 100 112 126 156 166	-21410393044
SPT(14)	123473207535386833	0 18 34 40 76 124 166 258 300 348 384 390 406 424	-19750617778
SPT(14)	123473229806410681	0 40 60 82 130 136 150 172 186 192 240 262 282 322	2520406070
TPT(12)	123473237921370011	0 2 6 8 36 38 78 80 96 98 108 110	10635365400
TPT(12)	123473245149542369	0 2 42 44 72 74 102 104 210 212 252 254	17863537758
SPT(14)	123473254148001853	0 30 36 46 58 88 90 184 186 216 228 238 244 274	26861997242
SPT(14)	123473255321284633	0 34 70 76 78 84 118 156 190 196 198 204 240 274	28035280022