Prime p₀= 233678954139747167 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 70 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 72 74 84 86 102 104 120 122 132 134
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: 134
Found by: Sammey19
db: batch=69, k=12, 70 10 16 16 10

TPT(14)	233678874007816409	0 2 30 32 42 44 102 104 132 134 198 200 252 254	-80131930758
SPT(14)	233678909918199929	0 8 14 78 110 122 162 200 240 252 284 348 354 362	-44221547238
SPT(14)	233678911714773223	0 24 34 40 58 84 118 150 184 210 228 234 244 268	-42424973944
SPT(14)	233678936051949281	0 56 122 126 132 150 152 216 218 236 242 246 312 368	-18087797886
TPT(12)	233678946118681337	0 2 222 224 360 362 390 392 414 416 420 422	-8021065830
SPT(14)	233678948678480639	0 54 74 104 120 144 158 204 218 242 258 288 308 362	-5461266528
STPT(10)	233678954139747239	0 2 12 14 30 32 48 50 60 62	72
TPT(12)	233678971625084807	0 2 84 86 120 122 162 164 174 176 222 224	17485337640
TPT(14)	233678979794828837	0 2 174 176 252 254 300 302 330 332 372 374 384 386	25655081670
SPT(14)	233678990823272933	0 38 50 56 96 98 164 180 246 248 288 294 306 344	36683525766
SPT(16)	233678994979096397	0 20 84 104 132 134 146 180 206 240 252 254 282 302 366 386	40839349230