Prime p₀= 36573252626733269 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 52 2 118 2 34 2 40 2 (?)
a_n: 0 2 18 20 72 74 192 194 228 230 270 272
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: 272
Found by: Frank [NT]
db: batch=65, k=12, 16 52 118 34 40

SPT(16)	36573189410714071	0 16 36 76 90 100 112 118 150 156 168 178 192 232 252 268	-63216019198
SPT(14)	36573193274064619	0 58 60 118 154 174 204 208 238 258 294 352 354 412	-59352668650
SPT(14)	36573227056856821	0 22 30 42 48 106 112 156 162 220 226 238 246 268	-25569876448
STPT(10)	36573227272504577	0 2 54 56 72 74 90 92 144 146	-25354228692
SPT(14)	36573235882478003	0 44 48 90 120 156 158 216 218 254 284 326 330 374	-16744255266
SPT(14)	36573240255267689	0 8 44 72 108 110 158 204 252 254 290 318 354 362	-12371465580
SPT(14)	36573255161939191	0 10 12 22 48 70 78 82 90 112 138 148 150 160	2535205922
SPT(14)	36573264768424907	0 24 42 80 90 122 132 134 144 176 186 224 242 266	12141691638
SPT(14)	36573284243596609	0 4 12 22 28 40 82 90 132 144 150 160 168 172	31616863340
SPT(14)	36573291666927391	0 18 22 82 88 138 148 192 202 252 258 318 322 340	39040194122
TPT(12)	36573294392829707	0 2 30 32 42 44 84 86 120 122 144 146	41766096438