Prime p₀= 2034994154679827657 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: Dingo
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2034992726486645369	0 120 138 152 182 204 218 248 294 324 338 360 390 404 422 542	-1428193182288
TPT(14)	2034992731688267807	0 2 42 44 150 152 162 164 234 236 264 266 294 296	-1422991559850
TPT(14)	2034993118431157901	0 2 18 20 78 80 156 158 210 212 240 242 288 290	-1036248669756
SPT(16)	2034993214104143743	0 58 60 76 88 90 108 118 126 136 154 156 168 184 186 244	-940575683914
TPT(14)	2034993786723301211	0 2 36 38 78 80 96 98 150 152 276 278 390 392	-367956526446
SPT(16)	2034993892268424431	0 2 26 32 56 86 92 120 158 186 192 222 246 252 276 278	-262411403226
SPT(16)	2034994296995650021	0 28 30 78 120 136 232 250 318 336 432 448 490 538 540 568	142315822364
STPT(10)	2034994394029358759	0 2 48 50 90 92 132 134 180 182	239349531102
STPT(10)	2034994600143599189	0 2 18 20 30 32 42 44 60 62	445463771532
STPT(10)	2034995036279124719	0 2 48 50 60 62 72 74 120 122	881599297062
STPT(10)	2034995130681368027	0 2 30 32 42 44 54 56 84 86	976001540370