Prime p₀= 2865766173053240759 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: Landjunge
db: batch=82, k=10, 2 76 2 40 2

SPT(16)	2865763031348396119	0 24 54 72 90 114 124 132 142 150 160 184 202 220 250 274	-3141704844640
STPT(10)	2865763436046759509	0 2 18 20 30 32 42 44 60 62	-2737006481250
SPT(16)	2865764405312898431	0 66 80 102 110 122 132 138 200 206 216 228 236 258 272 338	-1767740342328
SPT(16)	2865764878401809437	0 16 30 42 70 72 76 102 154 180 184 186 214 226 240 256	-1294651431322
SPT(13)	2865765690364181993	0 36 66 84 90 114 120 126 150 156 174 204 240	-482689058766
STPT(10)	2865766167593932751	0 2 30 32 78 80 126 128 156 158	-5459308008
STPT(10)	2865766189516095947	0 2 42 44 72 74 102 104 144 146	16462855188
SPT(16)	2865766243448846029	0 22 34 54 70 108 112 162 220 270 274 312 328 348 360 382	70395605270
TPT(14)	2865766442130466997	0 2 12 14 24 26 192 194 204 206 330 332 342 344	269077226238
SPT(16)	2865766534372676351	0 32 50 86 96 120 128 156 242 270 278 302 312 348 366 398	361319435592
SPT(16)	2865766813321068809	0 12 14 18 50 84 98 102 140 144 158 192 224 228 230 242	640267828050