Prime p₀= 2132387141817258761 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 106 2 106 2 28 2 (?)
a_n: 0 2 30 32 138 140 246 248 276 278
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: 278
Found by: Odd-Rod
db: batch=80, k=10, 2 28 2 106 2

SPT(16)	2132385557933135287	0 4 30 76 96 112 186 216 220 250 324 340 360 406 432 436	-1583884123474
STPT(10)	2132385751958223689	0 2 48 50 90 92 132 134 180 182	-1389859035072
SPT(16)	2132386102360265359	0 12 48 54 60 70 114 174 178 238 282 292 298 304 340 352	-1039456993402
STPT(10)	2132386744967994209	0 2 30 32 60 62 90 92 120 122	-396849264552
STPT(10)	2132386768318643831	0 2 36 38 78 80 120 122 156 158	-373498614930
SPT(16)	2132386922878230439	0 4 28 70 78 120 124 148 210 234 238 280 288 330 354 358	-218939028322
SPT(16)	2132387579353901081	0 38 66 80 116 122 128 170 408 450 456 462 498 512 540 578	437536642320
STPT(10)	2132387903755177109	0 2 18 20 30 32 42 44 60 62	761937918348
SPT(16)	2132388003397409567	0 6 12 32 62 66 116 150 182 216 266 270 300 320 326 332	861580150806
SPT(16)	2132388492049414843	0 4 46 60 66 118 126 150 154 178 186 238 244 258 300 304	1350232156082
TPT(14)	2132388546728495927	0 2 60 62 132 134 144 146 180 182 210 212 342 344	1404911237166