Prime p₀= 2123532788449251581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 94 2 10 2 10 2 94 2 (?)
a_n: 0 2 96 98 108 110 120 122 216 218
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: 218
Found by: Dingo
db: batch=80, k=10, 2 94 2 10 2

SPT(13)	2123532101145790001	0 36 42 72 102 132 186 240 270 300 330 336 372	-687303461580
SPT(16)	2123532277066598843	0 18 20 86 104 120 168 170 174 176 224 240 258 324 326 344	-511382652738
SPT(18)	2123532311067353353	0 18 70 90 124 144 186 198 208 216 226 238 280 300 334 354 406 424	-477381898228
SPT(16)	2123532398515229147	0 20 50 84 92 122 134 146 210 222 234 264 272 306 336 356	-389934022434
TPT(14)	2123532607427427347	0 2 84 86 90 92 114 116 180 182 222 224 240 242	-181021824234
SPT(16)	2123532776486045761	0 28 30 48 82 126 156 160 168 172 202 246 280 298 300 328	-11963205820
SPT(16)	2123532865843904063	0 24 30 66 90 96 104 126 134 156 164 170 194 230 236 260	77394652482
SPT(16)	2123532999191371811	0 30 72 182 228 242 248 260 318 330 336 350 396 506 548 578	210742120230
SPT(18)	2123533198680863903	0 48 66 96 104 126 156 170 174 230 234 248 278 300 308 338 356 404	410231612322
STPT(10)	2123533213462016141	0 2 30 32 78 80 126 128 156 158	425012764560
STPT(10)	2123533610517658991	0 2 36 38 78 80 120 122 156 158	822068407410