Prime p₀= 1123460517174389027 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 10 2 16 2 22 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 54 56 72 74 84 86
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: 86
Found by: stoneageman
db: batch=76, k=12, 2 10 2 16 2 22

SPT(16)	1123459179960552263	0 38 54 66 78 96 108 140 204 236 248 266 278 290 306 344	-1337213836764
SPT(16)	1123459616903717879	0 8 14 18 32 38 42 60 62 80 84 90 104 108 114 122	-900270671148
SPT(16)	1123459801714721803	0 24 66 94 100 106 120 126 184 190 204 210 216 244 286 310	-715459667224
STPT(10)	1123460008611997487	0 2 30 32 72 74 114 116 144 146	-508562391540
STPT(10)	1123460247589941029	0 2 18 20 30 32 42 44 60 62	-269584447998
SPT(16)	1123460314982081287	0 24 40 52 72 154 180 184 222 226 252 334 354 366 382 406	-202192307740
STPT(10)	1123460639896055429	0 2 48 50 90 92 132 134 180 182	122721666402
STPT(10)	1123460674522866101	0 2 36 38 78 80 120 122 156 158	157348477074
STPT(10)	1123460687832042641	0 2 6 8 48 50 90 92 96 98	170657653614
SPT(16)	1123460715232005043	0 4 6 24 66 78 88 90 124 126 136 148 190 208 210 214	198057616016
STPT(10)	1123460848445073557	0 2 12 14 42 44 72 74 84 86	331270684530