Prime p₀= 2259040657079976557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 76 2 76 2 52 2 (?)
a_n: 0 2 54 56 132 134 210 212 264 266
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: 266
Found by: Orange Kid
db: batch=81, k=10, 2 52 2 76 2

SPT(16)	2259040039245612079	0 22 72 78 90 112 184 220 252 288 360 382 394 400 450 472	-617834364478
SPT(16)	2259040498399710947	0 26 42 62 120 122 164 176 180 192 234 236 294 314 330 356	-158680265610
STPT(10)	2259040541062862699	0 2 18 20 30 32 42 44 60 62	-116017113858
SPT(16)	2259040606124831593	0 36 94 96 100 106 124 150 154 180 198 204 208 210 268 304	-50955144964
STPT(10)	2259040606207545071	0 2 6 8 18 20 30 32 36 38	-50872431486
SPT(16)	2259040656702302293	0 6 10 66 78 106 120 148 156 184 198 226 238 294 298 304	-377674264
SPT(16)	2259041217644154421	0 66 76 90 100 126 142 192 196 246 262 288 298 312 322 388	560564177864
STPT(10)	2259041268648487007	0 2 24 26 42 44 60 62 84 86	611568510450
TPT(14)	2259041308005216479	0 2 90 92 108 110 132 134 138 140 222 224 258 260	650925239922
STPT(10)	2259041721209357699	0 2 18 20 30 32 42 44 60 62	1064129381142
TPT(14)	2259041816871633767	0 2 30 32 42 44 84 86 150 152 210 212 240 242	1159791657210