Prime p₀= 1257821121391694219 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 46 2 46 2 40 2 (?)
a_n: 0 2 42 44 90 92 138 140 180 182
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: 182
Found by: mikey
db: batch=77, k=10, 2 40 2 46 2

SPT(16)	1257818923744018001	0 20 32 38 42 48 78 120 188 230 260 266 270 276 288 308	-2197647676218
TPT(14)	1257819510845054021	0 2 138 140 216 218 258 260 300 302 336 338 366 368	-1610546640198
STPT(10)	1257819833338112411	0 2 6 8 48 50 90 92 96 98	-1288053581808
STPT(10)	1257820192159917431	0 2 6 8 108 110 210 212 216 218	-929231776788
SPT(16)	1257820365763072549	0 34 40 142 144 162 180 198 214 232 250 268 270 372 378 412	-755628621670
SPT(16)	1257820427493765253	0 24 28 66 88 96 108 144 160 196 208 216 238 276 280 304	-693897928966
STPT(10)	1257821724476962217	0 2 24 26 42 44 60 62 84 86	603085267998
SPT(16)	1257822126051542383	0 28 36 138 198 220 234 246 268 280 294 316 376 478 486 514	1004659848164
STPT(10)	1257822135134130659	0 2 42 44 60 62 78 80 120 122	1013742436440
SPT(16)	1257822480494324893	0 4 46 84 88 100 114 156 178 220 234 246 250 288 330 334	1359102630674
SPT(16)	1257822730996641487	0 52 54 66 82 84 94 96 130 132 142 144 160 172 174 226	1609604947268