Prime p₀= 2178288444758380697 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-FC] hl
db: batch=81, k=10, 2 10 2 28 2

TPT(14)	2178287853432616127	0 2 42 44 54 56 102 104 114 116 144 146 180 182	-591325764570
STPT(10)	2178287890006053227	0 2 84 86 132 134 180 182 264 266	-554752327470
SPT(16)	2178287991686033951	0 8 20 26 38 42 50 78 110 138 146 150 162 168 180 188	-453072346746
SPT(16)	2178288037081862627	0 20 26 102 162 174 176 186 350 360 362 374 434 510 516 536	-407676518070
SPT(13)	2178288206103313607	0 6 36 120 144 174 210 246 276 300 384 414 420	-238655067090
SPT(16)	2178288316582279529	0 14 18 50 68 90 110 134 144 168 188 210 228 260 264 278	-128176101168
STPT(10)	2178288502397847911	0 2 36 38 78 80 120 122 156 158	57639467214
SPT(16)	2178288776935627033	0 16 28 30 90 100 138 160 216 238 276 286 346 348 360 376	332177246336
STPT(10)	2178288791408053991	0 2 6 8 18 20 30 32 36 38	346649673294
STPT(10)	2178288844146638549	0 2 18 20 30 32 42 44 60 62	399388257852
SPT(16)	2178288991815580711	0 30 36 72 78 106 112 132 196 216 222 250 256 292 298 328	547057200014