Prime p₀= 1232953685288468279 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: Theadalus
db: batch=77, k=10, 2 46 2 40 2

TPT(14)	1232951659529759201	0 2 90 92 258 260 336 338 390 392 438 440 468 470	-2025758709078
STPT(10)	1232951733844459997	0 2 30 32 42 44 54 56 84 86	-1951444008282
STPT(10)	1232951751633531071	0 2 6 8 18 20 30 32 36 38	-1933654937208
STPT(10)	1232952265535867057	0 2 30 32 42 44 54 56 84 86	-1419752601222
STPT(10)	1232953261083882971	0 2 6 8 48 50 90 92 96 98	-424204585308
SPT(16)	1232953553123990017	0 6 12 22 34 84 94 126 130 162 172 222 234 244 250 256	-132164478262
STPT(10)	1232954066586451211	0 2 30 32 60 62 90 92 120 122	381297982932
SPT(16)	1232954237969612401	0 40 42 78 118 136 150 162 166 178 192 210 250 286 288 328	552681144122
STPT(10)	1232954604257713817	0 2 30 32 42 44 54 56 84 86	918969245538
STPT(10)	1232954761495234049	0 2 18 20 30 32 42 44 60 62	1076206765770
SPT(16)	1232955141477582451	0 22 52 60 76 88 90 118 180 208 210 222 238 246 276 298	1456189114172