Prime p₀= 2017063253599312517 starts a Symmetric tuple of 12 consecutive primes, which form 6 twin primes (STPT).
d_n: 0 2 40 2 16 2 22 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 84 86 102 104 144 146
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: 146
Found by: Landjunge
db: batch=80, k=12, 2 40 2 16 2 22

STPT(10)	2017061899090626917	0 2 12 14 42 44 72 74 84 86	-1354508685600
STPT(10)	2017061964412604267	0 2 30 32 72 74 114 116 144 146	-1289186708250
STPT(10)	2017062124987681799	0 2 18 20 30 32 42 44 60 62	-1128611630718
SPT(16)	2017062367084660939	0 30 70 84 112 124 130 142 150 162 168 180 208 222 262 292	-886514651578
STPT(10)	2017063012344910457	0 2 54 56 72 74 90 92 144 146	-241254402060
SPT(16)	2017063069624090651	0 36 42 52 120 132 142 190 198 246 256 268 336 346 352 388	-183975221866
SPT(16)	2017063261561721467	0 12 30 52 64 72 106 120 406 420 454 462 474 496 514 526	7962408950
STPT(10)	2017063319687764937	0 2 30 32 42 44 54 56 84 86	66088452420
STPT(10)	2017063365205961297	0 2 30 32 42 44 54 56 84 86	111606648780
SPT(16)	2017063397684717881	0 6 16 22 28 46 48 58 90 100 102 120 126 132 142 148	144085405364
SPT(16)	2017063453737241003	0 28 34 64 76 106 118 124 150 156 168 198 210 240 246 274	200137928486