Prime p₀= 1139549288785847279 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 28 2 28 2 76 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 138 140 168 170 198 200
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: 200
Found by: gemini8
db: batch=76, k=12, 2 28 2 28 2 76

SPT(16)	1139548313055911023	0 4 16 24 48 58 66 70 114 118 126 136 160 168 180 184	-975729936256
SPT(16)	1139548380511286443	0 64 70 76 84 120 124 154 300 330 334 370 378 384 390 454	-908274560836
SPT(16)	1139548380988403879	0 20 44 50 54 110 132 180 212 260 282 338 342 348 372 392	-907797443400
SPT(16)	1139548735922884753	0 36 120 130 138 144 148 160 174 186 190 196 204 214 298 334	-552862962526
STPT(10)	1139548974363140981	0 2 6 8 48 50 90 92 96 98	-314422706298
STPT(10)	1139549149056756239	0 2 42 44 90 92 138 140 180 182	-139729091040
STPT(10)	1139549413887425087	0 2 30 32 42 44 54 56 84 86	125101577808
SPT(16)	1139549469109881199	0 52 60 102 118 160 192 198 214 220 252 294 310 352 360 412	180324033920
SPT(16)	1139549769659961379	0 52 70 88 102 154 168 172 180 184 198 250 264 282 300 352	480874114100
SPT(16)	1139549770777779061	0 18 78 108 142 156 166 172 246 252 262 276 310 340 400 418	481991931782
SPT(16)	1139549955845369021	0 30 50 56 150 162 182 200 258 276 296 308 402 408 428 458	667059521742