Prime p₀= 1078128397461654347 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: Spectrum
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1078127438316210827	0 2 30 32 42 44 54 56 84 86	-959145443520
STPT(10)	1078127486812014809	0 2 18 20 30 32 42 44 60 62	-910649639538
STPT(10)	1078127635893696629	0 2 42 44 90 92 138 140 180 182	-761567957718
SPT(16)	1078128046908853529	0 42 98 114 140 144 168 194 198 224 248 252 278 294 350 392	-350552800818
STPT(10)	1078128155914831001	0 2 30 32 78 80 126 128 156 158	-241546823346
SPT(16)	1078128173959892149	0 30 70 84 108 118 132 142 150 160 174 184 208 222 262 292	-223501762198
TPT(14)	1078128405085167911	0 2 60 62 66 68 96 98 138 140 180 182 336 338	7623513564
SPT(16)	1078128541251665551	0 18 48 70 88 112 118 148 222 252 258 282 300 322 352 370	143790011204
SPT(16)	1078129243112025491	0 60 62 66 72 98 128 132 266 270 300 326 332 336 338 398	845650371144
SPT(16)	1078129656993824843	0 14 18 36 50 56 78 80 144 146 168 174 188 206 210 224	1259532170496
SPT(16)	1078129873394099459	0 8 24 62 68 72 110 138 164 192 230 234 240 278 294 302	1475932445112