Prime p₀= 1040096232705278867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1040095438250067847	0 4 22 40 64 70 82 126 250 294 306 312 336 354 372 376	-794455211020
SPT(16)	1040095479205621411	0 18 42 46 58 102 108 132 136 160 166 210 222 226 250 268	-753499657456
SPT(18)	1040095559064726817	0 6 24 30 34 52 90 102 130 156 184 196 234 252 256 262 280 286	-673640552050
STPT(10)	1040095596952477067	0 2 30 32 72 74 114 116 144 146	-635752801800
STPT(10)	1040095682149541921	0 2 36 38 78 80 120 122 156 158	-550555736946
STPT(10)	1040096133314454647	0 2 30 32 72 74 114 116 144 146	-99390824220
STPT(10)	1040096407340020799	0 2 18 20 30 32 42 44 60 62	174634741932
TPT(14)	1040096592992858411	0 2 36 38 108 110 126 128 138 140 258 260 348 350	360287579544
STPT(10)	1040096657720120027	0 2 30 32 42 44 54 56 84 86	425014841160
STPT(10)	1040096676992242937	0 2 12 14 42 44 72 74 84 86	444286964070
SPT(16)	1040096831358054607	0 16 36 70 90 96 154 156 340 342 400 406 426 460 480 496	598652775740