Prime p₀= 2062778054736015269 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 40 2 40 2 76 2 (?)
a_n: 0 2 78 80 120 122 162 164 240 242
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: 242
Found by: Cruncher Pete
db: batch=80, k=10, 2 76 2 40 2

SPT(16)	2062777025781142109	0 14 50 80 84 90 110 134 264 288 308 314 318 348 384 398	-1028954873160
STPT(10)	2062777361220502559	0 2 42 44 90 92 138 140 180 182	-693515512710
STPT(10)	2062777651923198101	0 2 48 50 108 110 168 170 216 218	-402812817168
STPT(10)	2062777696619765309	0 2 30 32 60 62 90 92 120 122	-358116249960
SPT(16)	2062777719071194963	0 60 78 144 154 178 190 204 244 258 270 294 304 370 388 448	-335664820306
SPT(16)	2062777962256855609	0 42 54 58 72 94 100 108 124 132 138 160 174 178 190 232	-92479159660
SPT(16)	2062778091284230109	0 20 44 62 102 132 140 164 258 282 290 320 360 378 402 422	36548214840
STPT(10)	2062778141736710681	0 2 90 92 108 110 126 128 216 218	87000695412
SPT(16)	2062778270035552513	0 6 10 70 78 138 174 204 250 280 316 376 384 444 448 454	215299537244
STPT(10)	2062778882083380281	0 2 6 8 18 20 30 32 36 38	827347365012
SPT(16)	2062779049405171871	0 26 42 86 90 102 116 120 152 156 170 182 186 230 246 272	994669156602