Prime p₀= 2829413381496498581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: JayPi
db: batch=82, k=10, 2 34 2 40 2

SPT(16)	2829411625598638879	0 28 30 82 100 108 130 144 178 192 214 222 240 292 294 322	-1755897859702
TPT(14)	2829411903576877349	0 2 108 110 168 170 210 212 252 254 258 260 300 302	-1477919621232
SPT(16)	2829411928176998551	0 6 48 72 132 142 150 162 226 238 246 256 316 340 382 388	-1453319500030
SPT(16)	2829412364160120691	0 30 42 58 88 112 130 138 142 150 168 192 222 238 250 280	-1017336377890
SPT(16)	2829412965277758023	0 20 66 68 110 114 140 170 234 264 290 294 336 338 384 404	-416218740558
SPT(16)	2829412986694336183	0 30 58 64 78 96 148 154 180 186 238 256 270 276 304 334	-394802162398
STPT(10)	2829413530313231759	0 2 18 20 30 32 42 44 60 62	148816733178
STPT(10)	2829413898489426497	0 2 30 32 42 44 54 56 84 86	516992927916
TPT(14)	2829413921560435127	0 2 72 74 144 146 204 206 240 242 270 272 294 296	540063936546
STPT(10)	2829414101243031527	0 2 30 32 42 44 54 56 84 86	719746532946
SPT(18)	2829414798888467633	0 44 114 126 140 210 218 306 320 324 338 426 434 504 518 530 600 644	1417391969052