Prime p₀= 2123424140818383827 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
All 10 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 28 2 40 2

STPT(10)	2123423265138418667	0 2 12 14 72 74 132 134 144 146	-875679965160
STPT(12)	2123423284753568177	0 2 30 32 72 74 90 92 132 134 162 164	-856064815650
STPT(10)	2123423289888265661	0 2 6 8 18 20 30 32 36 38	-850930118166
STPT(10)	2123423360404308839	0 2 30 32 60 62 90 92 120 122	-780414074988
SPT(16)	2123423373544472683	0 4 10 28 34 88 90 94 120 124 126 180 186 204 210 214	-767273911144
SPT(16)	2123423565861670333	0 10 24 46 78 88 108 144 160 196 216 226 258 280 294 304	-574956713494
SPT(16)	2123424213423826297	0 34 46 54 66 84 90 96 124 130 136 154 166 174 186 220	72605442470
STPT(10)	2123424254747993339	0 2 18 20 30 32 42 44 60 62	113929609512
SPT(16)	2123424259890718297	0 52 76 84 94 142 156 162 184 190 204 252 262 270 294 346	119072334470
SPT(16)	2123425123117759561	0 16 18 58 72 88 100 106 192 198 210 226 240 280 282 298	982299375734
STPT(12)	2123425308867647429	0 2 12 14 72 74 78 80 138 140 150 152	1168049263602