Prime p₀= 223109021657814557 starts a Tuple of 12 consecutive primes, which form 6 twin primes (TPT).
d_n: 0 2 100 2 10 2 64 2 28 2 22 2 (?)
a_n: 0 2 102 104 114 116 180 182 210 212 234 236
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: 236
Found by: Alnitak2019
db: batch=69, k=12, 100 10 64 28 22

SPT(14)	223108943270192831	0 8 26 42 62 68 92 276 300 306 326 342 360 368	-78387621726
SPT(14)	223108945855089439	0 82 118 168 202 222 234 238 250 270 304 354 390 472	-75802725118
SPT(16)	223108957946033143	0 40 54 66 118 138 168 186 238 256 286 306 358 370 384 424	-63711781414
SPT(14)	223108979553568609	0 28 34 40 42 48 70 102 124 130 132 138 144 172	-42104245948
SPT(14)	223109009397585959	0 8 32 60 90 92 102 128 138 140 170 198 222 230	-12260228598
SPT(14)	223109012175582067	0 10 12 30 72 120 132 184 196 244 286 304 306 316	-9482232490
SPT(14)	223109052391829039	0 2 30 50 98 102 132 200 230 234 282 302 330 332	30734014482
SPT(14)	223109081600806553	0 8 18 26 36 66 80 96 110 140 150 158 168 176	59942991996
SPT(14)	223109089711861603	0 6 18 34 46 64 76 78 90 108 120 136 148 154	68054047046
SPT(14)	223109164472180213	0 14 44 50 56 68 140 204 276 288 294 300 330 344	142814365656
STPT(10)	223109198045390351	0 2 30 32 78 80 126 128 156 158	176387575794