Prime p₀= 2250947884460405027 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2250945462489786253	0 24 60 144 154 190 198 204 220 226 234 270 280 364 400 424	-2421970618774
TPT(14)	2250946604871229481	0 2 138 140 186 188 210 212 228 230 348 350 360 362	-1279589175546
STPT(10)	2250946696332884411	0 2 36 38 78 80 120 122 156 158	-1188127520616
STPT(10)	2250947409325936169	0 2 30 32 60 62 90 92 120 122	-475134468858
SPT(16)	2250947536679125139	0 18 20 72 78 122 162 228 272 338 378 422 428 480 482 500	-347781279888
STPT(10)	2250947637009215621	0 2 36 38 78 80 120 122 156 158	-247451189406
TPT(14)	2250948324423703907	0 2 144 146 162 164 294 296 330 332 342 344 384 386	439963298880
SPT(16)	2250948432262631201	0 36 60 78 80 116 126 218 258 350 360 396 398 416 440 476	547802226174
STPT(10)	2250948443255018207	0 2 30 32 42 44 54 56 84 86	558794613180
SPT(16)	2250948585390244717	0 4 22 52 70 76 82 102 154 174 180 186 204 234 252 256	700929839690
STPT(10)	2250948659133082001	0 2 30 32 60 62 90 92 120 122	774672676974