Prime p₀= 23274972143274779 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 40 2 28 2 28 2 28 2 34 2 (?)
a_n: 0 2 42 44 72 74 102 104 132 134 168 170
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: 170
Found by: ChelseaOilman
db: batch=65, k=12, 40 28 28 28 34

SPT(14)	23274906980986627	0 4 10 24 40 66 82 114 130 156 172 186 192 196	-65162288152
TPT(12)	23274918294786437	0 2 12 14 30 32 54 56 102 104 114 116	-53848488342
SPT(14)	23274925832558447	0 24 26 32 42 60 66 110 116 134 144 150 152 176	-46310716332
SPT(14)	23274938075892401	0 8 38 62 68 72 108 152 188 192 198 222 252 260	-34067382378
SPT(16)	23274938535144841	0 42 48 58 70 76 96 100 108 112 132 138 150 160 166 208	-33608129938
SPT(14)	23274961052893703	0 26 84 96 104 116 126 284 294 306 314 326 384 410	-11090381076
SPT(14)	23274973442280551	0 32 50 102 110 116 120 182 186 192 200 252 270 302	1299005772
SPT(14)	23274979687973833	0 28 40 54 58 108 114 124 130 180 184 198 210 238	7544699054
SPT(14)	23274980335582081	0 12 36 40 58 66 82 96 112 120 138 142 166 178	8192307302
SPT(14)	23274981700339409	0 14 24 62 84 122 132 152 162 200 222 260 270 284	9557064630
SPT(14)	23274985809760459	0 22 52 60 64 82 90 124 132 150 154 162 192 214	13666485680