Prime p₀= 2012788756219178849 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2012787786030437569	0 58 72 84 88 90 108 160 192 244 262 264 268 280 294 352	-970188741280
STPT(10)	2012787949448168327	0 2 30 32 42 44 54 56 84 86	-806771010522
SPT(16)	2012788244155734109	0 10 58 78 100 108 114 124 138 148 154 162 184 204 252 262	-512063444740
SPT(16)	2012788317487436711	0 6 36 80 188 216 260 266 270 276 320 348 456 500 530 536	-438731742138
STPT(10)	2012788497392566739	0 2 18 20 30 32 42 44 60 62	-258826612110
SPT(16)	2012788516479872059	0 34 40 42 52 54 148 174 208 234 328 330 340 342 348 382	-239739306790
SPT(16)	2012789188984387481	0 20 42 56 62 66 72 92 246 266 272 276 282 296 318 338	432765208632
SPT(16)	2012789343233798497	0 4 12 36 90 102 112 222 274 384 394 406 460 484 492 496	587014619648
STPT(10)	2012789405509549391	0 2 6 8 48 50 90 92 96 98	649290370542
STPT(10)	2012789412091315769	0 2 18 20 30 32 42 44 60 62	655872136920
STPT(10)	2012789498699549357	0 2 12 14 72 74 132 134 144 146	742480370508