Prime p₀= 234697526886410699 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 82 2 46 2 28 2 16 2 (?)
a_n: 0 2 18 20 102 104 150 152 180 182 198 200
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: 200
Found by: gaballus
db: batch=69, k=12, 16 82 46 28 16

SPT(14)	234697420441241833	0 6 34 40 70 124 126 214 216 270 300 306 334 340	-106445168866
SPT(14)	234697428372138637	0 42 100 112 114 142 154 180 192 220 222 234 292 334	-98514272062
SPT(14)	234697441418191201	0 6 16 22 42 60 76 102 118 136 156 162 172 178	-85468219498
SPT(14)	234697451671533853	0 10 66 88 118 120 126 178 184 186 216 238 294 304	-75214876846
SPT(14)	234697485363692809	0 28 30 52 72 112 204 238 330 370 390 412 414 442	-41522717890
SPT(14)	234697491647799667	0 12 40 60 64 114 132 154 172 222 226 246 274 286	-35238611032
SPT(14)	234697552095240253	0 28 64 78 84 94 118 120 144 154 160 174 210 238	25208829554
SPT(14)	234697559817333601	0 6 58 72 88 130 150 178 198 240 256 270 322 328	32930922902
TPT(12)	234697569027323459	0 2 30 32 198 200 222 224 288 290 402 404	42140912760
SPT(14)	234697579423074769	0 28 30 60 100 102 154 228 280 282 322 352 354 382	52536664070
STPT(10)	234697582658718209	0 2 30 32 60 62 90 92 120 122	55772307510