Prime p₀= 2123533610517658991 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Chooka
db: batch=80, k=10, 2 34 2 40 2

SPT(16)	2123532776486045761	0 28 30 48 82 126 156 160 168 172 202 246 280 298 300 328	-834031613230
STPT(10)	2123532788449251581	0 2 96 98 108 110 120 122 216 218	-822068407410
SPT(16)	2123532865843904063	0 24 30 66 90 96 104 126 134 156 164 170 194 230 236 260	-744673754928
SPT(16)	2123532999191371811	0 30 72 182 228 242 248 260 318 330 336 350 396 506 548 578	-611326287180
SPT(18)	2123533198680863903	0 48 66 96 104 126 156 170 174 230 234 248 278 300 308 338 356 404	-411836795088
STPT(10)	2123533213462016141	0 2 30 32 78 80 126 128 156 158	-397055642850
SPT(16)	2123533616131398799	0 82 124 130 132 142 180 184 198 202 240 250 252 258 300 382	5613739808
SPT(16)	2123534065123820413	0 28 54 58 64 70 100 148 186 234 264 270 276 280 306 334	454606161422
SPT(16)	2123534070932485187	0 12 30 32 86 96 104 140 216 252 260 270 324 326 344 356	460414826196
SPT(16)	2123534309655792151	0 10 28 30 42 70 72 108 160 196 198 226 238 240 258 268	699138133160
STPT(10)	2123534316337809017	0 2 24 26 42 44 60 62 84 86	705820150026