Prime p₀= 1296877549369728449 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Cruncher Pete
db: batch=77, k=10, 2 10 2 16 2

SPT(18)	1296876839363121487	0 4 22 52 72 84 102 130 150 154 174 202 220 232 252 282 300 304	-710006606962
SPT(16)	1296876982298603479	0 22 42 78 100 102 112 130 180 198 208 210 232 268 288 310	-567071124970
SPT(16)	1296877087066727191	0 18 58 60 70 90 120 142 186 208 238 258 268 270 310 328	-462303001258
STPT(12)	1296877198091839877	0 2 42 44 60 62 102 104 120 122 162 164	-351277888572
SPT(16)	1296877207083069289	0 12 30 40 42 72 130 150 340 360 418 448 450 460 478 490	-342286659160
TPT(14)	1296877257098875481	0 2 30 32 66 68 78 80 126 128 168 170 330 332	-292270852968
SPT(18)	1296877882972464977	0 2 62 72 104 114 144 240 294 500 554 650 680 690 722 732 792 794	333602736528
STPT(10)	1296877920509941871	0 2 6 8 48 50 90 92 96 98	371140213422
SPT(16)	1296878009621774179	0 18 22 70 88 90 118 150 190 222 250 252 270 318 322 340	460252045730
SPT(16)	1296878260785439769	0 2 12 20 48 68 78 84 98 104 114 134 162 170 180 182	711415711320
STPT(10)	1296878385989052257	0 2 30 32 42 44 54 56 84 86	836619323808