Prime p₀= 1820714367640388249 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 28 2 4 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 78 80 108 110 150 152
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: 152
Found by: ClaudiusD
db: batch=79, k=12, 2 40 2 28 2 4

SPT(16)	1820713101899133713	0 8 20 50 60 84 110 138 140 168 194 218 228 258 270 278	-1265741254536
STPT(10)	1820713273211645609	0 2 18 20 30 32 42 44 60 62	-1094428742640
SPT(16)	1820713275757044941	0 30 62 86 96 182 198 206 282 290 306 392 402 426 458 488	-1091883343308
SPT(16)	1820713359924373819	0 78 102 120 130 132 144 154 168 178 190 192 202 220 244 322	-1007716014430
SPT(16)	1820714214637173451	0 18 46 52 60 70 72 82 126 136 138 148 156 162 190 208	-153003214798
STPT(10)	1820714285917081109	0 2 18 20 60 62 102 104 120 122	-81723307140
SPT(16)	1820714831357309423	0 50 56 84 86 90 116 120 194 198 224 228 230 258 264 314	463716921174
SPT(16)	1820715182748901393	0 6 28 48 78 100 118 174 220 276 294 316 346 366 388 394	815108513144
STPT(10)	1820715279765001547	0 2 30 32 72 74 114 116 144 146	912124613298
STPT(10)	1820715730640813717	0 2 60 62 72 74 84 86 144 146	1363000425468
SPT(16)	1820715912458478239	0 2 68 78 80 152 158 180 182 204 210 282 284 294 360 362	1544818089990