Prime p₀= 2038969717287294677 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 118 2 118 2 10 2 (?)
a_n: 0 2 12 14 132 134 252 254 264 266
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: 266
Found by: Landjunge
db: batch=80, k=10, 2 10 2 118 2

SPT(16)	2038966989654412943	0 6 14 20 24 48 56 90 164 198 206 230 234 240 248 254	-2727632881734
STPT(10)	2038967206887825029	0 2 12 14 30 32 48 50 60 62	-2510399469648
SPT(16)	2038967398151694287	0 32 54 72 102 116 140 156 170 186 210 224 254 272 294 326	-2319135600390
SPT(16)	2038968350413984643	0 14 20 78 90 108 150 170 258 278 320 338 350 408 414 428	-1366873310034
STPT(10)	2038968992585273759	0 2 48 50 90 92 132 134 180 182	-724702020918
SPT(16)	2038969696411755839	0 14 44 50 78 120 174 198 200 224 278 320 348 354 384 398	-20875538838
SPT(16)	2038969791860330341	0 28 42 48 52 82 96 106 192 202 216 246 250 256 270 298	74573035664
SPT(18)	2038970414636214119	0 54 60 62 78 84 102 104 120 152 168 170 188 194 210 212 218 272	697348919442
STPT(10)	2038970435664069767	0 2 30 32 72 74 114 116 144 146	718376775090
SPT(16)	2038970675700278051	0 2 6 18 32 56 92 138 260 306 342 366 380 392 396 398	958412983374
TPT(14)	2038970692353545747	0 2 30 32 60 62 144 146 234 236 252 254 264 266	975066251070