Prime p₀= 2250947409325936169 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=81, k=10, 2 28 2 28 2

SPT(20)	2250945202677271609	0 22 28 40 64 70 84 120 160 174 238 252 292 328 342 348 372 384 390 412	-2206648664560
SPT(16)	2250945271930421273	0 8 18 114 140 158 186 198 356 368 396 414 440 536 546 554	-2137395514896
SPT(16)	2250945455491145669	0 14 32 54 62 72 90 132 182 224 242 252 260 282 300 314	-1953834790500
SPT(16)	2250945462489786253	0 24 60 144 154 190 198 204 220 226 234 270 280 364 400 424	-1946836149916
TPT(14)	2250946604871229481	0 2 138 140 186 188 210 212 228 230 348 350 360 362	-804454706688
STPT(10)	2250946696332884411	0 2 36 38 78 80 120 122 156 158	-712993051758
SPT(16)	2250947536679125139	0 18 20 72 78 122 162 228 272 338 378 422 428 480 482 500	127353188970
STPT(10)	2250947637009215621	0 2 36 38 78 80 120 122 156 158	227683279452
STPT(10)	2250947884460405027	0 2 42 44 72 74 102 104 144 146	475134468858
TPT(14)	2250948324423703907	0 2 144 146 162 164 294 296 330 332 342 344 384 386	915097767738
SPT(16)	2250948432262631201	0 36 60 78 80 116 126 218 258 350 360 396 398 416 440 476	1022936695032