Prime p₀= 3001787197918552709 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 40 2 34 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 108 110 150 152 180 182
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: 182
Found by: [SG-FC] hl
db: batch=82, k=12, 2 28 2 40 2 34

SPT(16)	3001786110061790323	0 4 18 28 30 34 76 88 96 108 150 154 156 166 180 184	-1087856762386
SPT(18)	3001786211927913481	0 10 16 42 58 100 106 112 136 162 186 192 198 240 256 282 288 298	-985990639228
SPT(16)	3001786642399138081	0 12 82 148 166 186 222 250 258 286 322 342 360 426 496 508	-555519414628
SPT(16)	3001786799350866797	0 12 20 54 92 200 260 272 462 474 534 642 680 714 722 734	-398567685912
TPT(14)	3001786936540738277	0 2 114 116 120 122 150 152 162 164 180 182 192 194	-261377814432
STPT(10)	3001787046825349379	0 2 42 44 60 62 78 80 120 122	-151093203330
TPT(16)	3001787197918552709	0 2 30 32 72 74 108 110 150 152 180 182 288 290 360 362	0
SPT(16)	3001787524142771557	0 12 36 42 160 172 186 196 306 316 330 342 460 466 490 502	326224218848
SPT(16)	3001787873431656853	0 24 34 60 66 84 90 130 150 190 196 214 220 246 256 280	675513104144
SPT(18)	3001787923184735299	0 18 58 60 82 108 114 150 154 168 172 208 214 240 262 264 304 322	725266182590
STPT(10)	3001787946916938197	0 2 42 44 72 74 102 104 144 146	748998385488