Prime p₀= 2506416740763985079 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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2506414937419865821	0 16 42 76 82 96 126 130 138 142 172 186 192 226 252 268	-1803344119258
SPT(16)	2506415002735178597	0 54 62 84 96 102 132 144 152 164 194 200 212 234 242 296	-1738028806482
STPT(10)	2506415259194710709	0 2 18 20 30 32 42 44 60 62	-1481569274370
STPT(10)	2506415293325077991	0 2 36 38 108 110 180 182 216 218	-1447438907088
SPT(18)	2506416454039250083	0 6 30 84 136 148 168 178 184 210 216 226 246 258 310 364 388 394	-286724734996
SPT(16)	2506416673840056151	0 10 12 40 42 58 96 108 130 142 180 196 198 226 228 238	-66923928928
SPT(16)	2506416913949591443	0 10 36 54 64 136 160 196 258 294 318 390 400 418 444 454	173185606364
STPT(10)	2506416945509562257	0 2 30 32 42 44 54 56 84 86	204745577178
SPT(16)	2506417162273327561	0 16 40 58 66 100 150 166 282 298 348 382 390 408 432 448	421509342482
SPT(16)	2506417317679930043	0 20 44 56 78 90 134 146 168 180 224 236 258 270 294 314	576915944964
STPT(10)	2506417657799888981	0 2 36 38 78 80 120 122 156 158	917035903902