Prime p₀= 2122550757826068509 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Landjunge
db: batch=80, k=10, 2 28 2 28 2

SPT(16)	2122550008473107953	0 4 34 36 46 60 94 106 108 120 154 168 178 180 210 214	-749352960556
SPT(13)	2122550023131529487	0 30 60 66 84 90 150 210 216 234 240 270 300	-734694539022
STPT(10)	2122550416862667431	0 2 6 8 48 50 90 92 96 98	-340963401078
STPT(10)	2122550464916675711	0 2 30 32 78 80 126 128 156 158	-292909392798
SPT(16)	2122550475541522681	0 42 58 102 118 130 132 162 166 196 198 210 226 270 286 328	-282284545828
STPT(10)	2122550583915355337	0 2 42 44 102 104 162 164 204 206	-173910713172
SPT(16)	2122550946085145119	0 22 40 64 118 124 130 154 228 252 258 264 318 342 360 382	188259076610
STPT(10)	2122551599290894799	0 2 18 20 30 32 42 44 60 62	841464826290
SPT(16)	2122551833904157109	0 20 102 104 114 132 152 198 224 270 290 308 318 320 402 422	1076078088600
SPT(16)	2122551850548277243	0 36 40 60 130 148 238 244 300 306 396 414 484 504 508 544	1092722208734
SPT(16)	2122552238638876067	0 2 6 20 60 80 104 122 294 312 336 356 396 410 414 416	1480812807558