Prime p₀= 1003483446728144717 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 22 2 4 2 22 2 4 2 22 2 (?)
a_n: 0 2 24 26 30 32 54 56 60 62 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: MarkRBright
db: batch=76, k=12, 2 22 2 4 2 22

STPT(10)	1003481809242154061	0 2 78 80 138 140 198 200 276 278	-1637485990656
STPT(10)	1003482383753992991	0 2 30 32 60 62 90 92 120 122	-1062974151726
SPT(16)	1003482537246626071	0 22 46 76 78 82 96 148 150 202 216 220 222 252 276 298	-909481518646
STPT(10)	1003482600312304547	0 2 30 32 42 44 54 56 84 86	-846415840170
SPT(16)	1003483333004815549	0 12 18 28 42 52 60 78 112 130 138 148 162 172 178 190	-113723329168
TPT(14)	1003483428870885377	0 2 30 32 42 44 60 62 84 86 120 122 204 206	-17857259340
STPT(10)	1003483548467556851	0 2 30 32 78 80 126 128 156 158	101739412134
SPT(16)	1003483684564621303	0 4 28 46 106 150 154 198 226 270 274 318 378 396 420 424	237836476586
SPT(16)	1003484156504003401	0 36 42 52 106 108 120 160 168 208 220 222 276 286 292 328	709775858684
SPT(16)	1003484407714823291	0 12 36 48 50 56 66 78 110 122 132 138 140 152 176 188	960986678574
STPT(10)	1003484480342621267	0 2 12 14 72 74 132 134 144 146	1033614476550