Prime p₀= 2040630647387314469 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 28 2 16 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 60 62 90 92 102 104
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: 104
Found by: eclipse99
db: batch=80, k=12, 2 10 2 28 2 16

SPT(16)	2040629841363943079	0 12 18 50 60 78 120 150 152 182 224 242 252 284 290 302	-806023371390
STPT(10)	2040630061643035409	0 2 42 44 120 122 198 200 240 242	-585744279060
SPT(16)	2040630093441047113	0 18 46 54 76 108 124 136 168 180 196 228 250 258 286 304	-553946267356
SPT(16)	2040630144400019219	0 20 24 32 48 80 222 224 318 320 462 494 510 518 522 542	-502987295250
SPT(16)	2040630344845700981	0 38 128 132 140 150 170 182 216 228 248 258 266 270 360 398	-302541613488
SPT(16)	2040630403109619317	0 2 36 80 96 120 126 140 162 176 182 206 222 266 300 302	-244277695152
SPT(16)	2040631250876907649	0 34 42 60 78 94 120 148 174 202 228 244 262 280 288 322	603489593180
STPT(10)	2040631278397281497	0 2 42 44 72 74 102 104 144 146	631009967028
SPT(16)	2040631297634302117	0 42 52 82 90 94 112 132 142 162 180 184 192 222 232 274	650246987648
SPT(16)	2040631687734695593	0 4 48 84 90 108 130 136 168 174 196 214 220 256 300 304	1040347381124
SPT(16)	2040631765360412629	0 30 52 58 108 174 184 250 252 318 328 394 444 450 472 502	1117973098160