Prime p₀= 1025752693312273019 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: GLeeM
db: batch=76, k=10, 2 40 2 16 2

SPT(16)	1025751109739566297	0 24 36 142 180 204 220 252 274 306 322 346 384 490 502 526	-1583572706722
STPT(10)	1025751505485844019	0 2 42 44 120 122 198 200 240 242	-1187826429000
SPT(16)	1025751794506309459	0 52 70 88 108 114 142 144 238 240 268 274 294 312 330 382	-898805963560
SPT(16)	1025752010331963851	0 6 56 72 80 110 128 146 192 210 228 258 266 282 332 338	-682980309168
STPT(10)	1025752356771594797	0 2 72 74 102 104 132 134 204 206	-336540678222
SPT(16)	1025752659790734851	0 8 26 30 66 86 96 108 140 152 162 182 218 222 240 248	-33521538168
TPT(14)	1025752990339571057	0 2 42 44 54 56 90 92 252 254 264 266 354 356	297027298038
STPT(10)	1025753761386718121	0 2 6 8 18 20 30 32 36 38	1068074445102
STPT(10)	1025754301274376407	0 2 24 26 42 44 60 62 84 86	1607962103388
TPT(14)	1025754799069437629	0 2 78 80 90 92 150 152 192 194 258 260 288 290	2105757164610
SPT(16)	1025754976277601919	0 4 12 30 60 112 114 154 240 280 282 334 364 382 390 394	2282965328900