Prime p₀= 3489724670128273331 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 4 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 66 68 96 98 126 128
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: 128
Found by: RFGuy_KCCO
db: batch=83, k=12, 2 28 2 28 2 4

STPT(10)	3489722953494129851	0 2 36 38 78 80 120 122 156 158	-1716634143480
SPT(16)	3489723071366759399	0 14 18 60 78 90 102 120 152 170 182 194 212 254 258 272	-1598761513932
SPT(16)	3489723459396848161	0 42 90 96 102 108 118 132 166 180 190 196 202 208 256 298	-1210731425170
SPT(16)	3489723599907797041	0 70 96 136 138 166 208 210 226 228 270 298 300 340 366 436	-1070220476290
STPT(10)	3489723725574144587	0 2 12 14 42 44 72 74 84 86	-944554128744
SPT(16)	3489724190347987901	0 26 80 108 138 140 150 158 228 236 246 248 278 306 360 386	-479780285430
SPT(13)	3489725087848914533	0 78 90 120 126 156 168 180 210 216 246 258 336	417720641202
SPT(16)	3489726234492043937	0 14 74 86 114 144 210 216 224 230 296 326 354 366 426 440	1564363770606
STPT(10)	3489726304130709161	0 2 30 32 78 80 126 128 156 158	1634002435830
STPT(10)	3489726530037444797	0 2 90 92 102 104 114 116 204 206	1859909171466
SPT(16)	3489727966953577717	0 46 166 186 196 202 216 252 340 376 390 396 406 426 546 592	3296825304386