Prime p₀= 2726122575974668667 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-FC] hl
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2726121807632216887	0 6 46 60 66 70 76 136 144 204 210 214 220 234 274 280	-768342451780
STPT(10)	2726122000169957237	0 2 30 32 60 62 90 92 120 122	-575804711430
STPT(10)	2726122089955900841	0 2 6 8 18 20 30 32 36 38	-486018767826
SPT(16)	2726122175981006321	0 36 110 120 122 126 162 192 266 296 332 336 338 348 422 458	-399993662346
SPT(16)	2726122291601209289	0 20 24 50 62 78 92 98 144 150 164 180 192 218 222 242	-284373459378
SPT(16)	2726122347658796189	0 12 42 50 138 140 152 158 252 258 270 272 360 368 398 410	-228315872478
STPT(10)	2726122868459741627	0 2 30 32 60 62 90 92 120 122	292485072960
STPT(10)	2726123190443582129	0 2 12 14 90 92 168 170 180 182	614468913462
SPT(16)	2726123314789139113	0 18 46 58 66 114 118 148 156 186 190 238 246 258 286 304	738814470446
STPT(10)	2726123573079343769	0 2 48 50 90 92 132 134 180 182	997104675102
SPT(16)	2726123716677986423	0 8 14 38 56 86 128 134 270 276 318 348 366 390 396 404	1140703317756