Prime p₀= 1516600704582896939 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 136 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 180 182 210 212 222 224
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: 224
Found by: xii5ku
db: batch=78, k=12, 2 10 2 28 2 136

SPT(16)	1516600023399286649	0 24 32 80 84 110 140 150 152 162 192 218 222 270 278 302	-681183610290
SPT(16)	1516600041896532331	0 22 46 70 96 100 102 120 148 166 168 172 198 222 246 268	-662686364608
STPT(10)	1516600217574424427	0 2 30 32 42 44 54 56 84 86	-487008472512
TPT(14)	1516600505922979049	0 2 18 20 42 44 60 62 108 110 180 182 210 212	-198659917890
SPT(16)	1516600528791712823	0 8 18 78 86 90 114 156 158 200 224 228 236 296 306 314	-175791184116
TPT(16)	1516600672227164201	0 2 18 20 66 68 108 110 150 152 168 170 210 212 270 272	-32355732738
SPT(16)	1516600728434006759	0 12 20 62 68 98 102 108 134 140 144 174 180 222 230 242	23851109820
SPT(16)	1516600979464066439	0 48 60 62 84 108 140 164 258 282 314 338 360 362 374 422	274881169500
STPT(10)	1516601790932916209	0 2 18 20 30 32 42 44 60 62	1086350019270
SPT(16)	1516602279214948411	0 40 48 136 142 160 168 198 220 250 258 276 282 370 378 418	1574632051472
SPT(16)	1516602400079373511	0 10 22 36 58 106 112 126 172 186 192 240 262 276 288 298	1695496476572