Prime p₀= 41198622909556139 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 16 2 22 2 58 2 256 2 28 2 (?)
a_n: 0 2 18 20 42 44 102 104 360 362 390 392
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: 392
Found by: [AF>Libristes] ElGuillermo
db: batch=65, k=12, 16 22 58 256 28

SPT(14)	41198596874677621	0 46 60 78 82 100 106 162 168 186 190 208 222 268	-26034878518
TPT(12)	41198602631624687	0 2 12 14 30 32 42 44 54 56 60 62	-20277931452
TPT(12)	41198604947441309	0 2 30 32 42 44 60 62 102 104 132 134	-17962114830
SPT(14)	41198605074959641	0 78 82 108 126 156 192 196 232 262 280 306 310 388	-17834596498
SPT(14)	41198609177916811	0 40 46 52 106 108 118 180 190 192 246 252 258 298	-13731639328
SPT(14)	41198609352283763	0 30 80 86 90 150 156 158 164 224 228 234 284 314	-13557272376
TPT(12)	41198626536928739	0 2 60 62 72 74 132 134 138 140 168 170	3627372600
SPT(14)	41198642947396579	0 22 28 54 72 94 138 154 198 220 238 264 270 292	20037840440
SPT(14)	41198651128905229	0 4 10 40 78 84 100 108 124 130 168 198 204 208	28219349090
SPT(14)	41198656834848091	0 18 46 52 60 66 76 102 112 118 126 132 160 178	33925291952
SPT(14)	41198662069180829	0 14 24 30 38 80 98 114 132 174 182 188 198 212	39159624690