Prime p₀= 1296895891630165427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Cruncher Pete
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1296894659731450457	0 2 30 32 42 44 54 56 84 86	-1231898714970
STPT(12)	1296894700238370587	0 2 12 14 54 56 90 92 132 134 144 146	-1191391794840
SPT(16)	1296894957177096281	0 2 12 26 56 86 90 92 96 98 102 132 162 176 186 188	-934453069146
SPT(16)	1296894994273196959	0 40 42 64 78 112 138 172 180 214 240 274 288 310 312 352	-897356968468
STPT(10)	1296895512806960291	0 2 36 38 78 80 120 122 156 158	-378823205136
SPT(16)	1296895872878259691	0 70 78 148 160 168 202 300 310 408 442 450 462 532 540 610	-18751905736
STPT(10)	1296896496312255659	0 2 42 44 60 62 78 80 120 122	604682090232
SPT(16)	1296896876618874673	0 48 94 114 126 130 168 226 228 286 324 328 340 360 406 454	984988709246
STPT(10)	1296896949288669107	0 2 30 32 42 44 54 56 84 86	1057658503680
STPT(10)	1296897775100446469	0 2 18 20 30 32 42 44 60 62	1883470281042
SPT(16)	1296897859312207237	0 12 52 72 94 126 180 184 192 196 250 282 304 324 364 376	1967682041810