Prime p₀= 236540258881156199 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 10 2 34 2 52 2 28 2 4 2 (?)
a_n: 0 2 12 14 48 50 102 104 132 134 138 140
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: 140
Found by: Gallego
db: batch=69, k=12, 10 34 52 28 4

SPT(14)	236540176170257459	0 2 42 62 84 128 140 162 174 218 240 260 300 302	-82710898740
SPT(16)	236540180629392001	0 6 22 36 46 48 82 96 112 126 160 162 172 186 202 208	-78251764198
SPT(14)	236540180909835217	0 4 22 72 112 120 252 262 394 402 442 492 510 514	-77971320982
SPT(14)	236540212169607821	0 12 18 56 96 98 138 170 210 212 252 290 296 308	-46711548378
SPT(14)	236540252678762339	0 14 60 68 84 128 170 198 240 284 300 308 354 368	-6202393860
SPT(14)	236540253052221907	0 40 42 60 94 112 166 390 444 462 496 514 516 556	-5828934292
SPT(14)	236540275606170983	0 20 24 116 140 144 174 266 296 300 324 416 420 440	16725014784
SPT(14)	236540280437888101	0 28 36 42 48 70 120 148 198 220 226 232 240 268	21556731902
SPT(14)	236540300071734259	0 24 42 72 82 84 90 94 100 102 112 142 160 184	41190578060
SPT(14)	236540307207957409	0 10 18 30 42 48 60 100 112 118 130 142 150 160	48326801210
SPT(14)	236540308841471059	0 22 28 90 132 162 174 208 220 250 292 354 360 382	49960314860