Prime p₀= 1267482645591808739 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Megacruncher
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1267481002228827577	0 34 36 46 72 76 136 162 184 210 270 274 300 310 312 346	-1643362981162
STPT(10)	1267481266272294131	0 2 36 38 78 80 120 122 156 158	-1379319514608
STPT(10)	1267481335412873687	0 2 30 32 42 44 54 56 84 86	-1310178935052
STPT(10)	1267481761699233131	0 2 6 8 18 20 30 32 36 38	-883892575608
STPT(10)	1267482135583146149	0 2 42 44 60 62 78 80 120 122	-510008662590
SPT(16)	1267482282411844931	0 18 50 80 92 126 132 168 200 236 242 276 288 318 350 368	-363179963808
STPT(10)	1267482656478635417	0 2 60 62 72 74 84 86 144 146	10886826678
SPT(16)	1267482779414917469	0 20 32 54 60 62 92 104 180 192 222 224 230 252 264 284	133823108730
SPT(16)	1267482854105274689	0 12 24 42 68 78 114 150 182 218 254 264 290 308 320 332	208513465950
SPT(16)	1267482950481573139	0 12 48 90 108 124 142 144 208 210 228 244 262 304 340 352	304889764400
STPT(10)	1267483136617280837	0 2 42 44 72 74 102 104 144 146	491025472098