Prime p₀= 2667591215784810251 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 64 2 70 2 70 2 64 2 (?)
a_n: 0 2 66 68 138 140 210 212 276 278
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: Coleslaw
db: batch=82, k=10, 2 64 2 70 2

TPT(14)	2667590312911124189	0 2 12 14 30 32 78 80 108 110 162 164 180 182	-902873686062
SPT(16)	2667590471354783549	0 32 72 102 108 120 158 164 198 204 242 254 260 290 330 362	-744430026702
SPT(16)	2667590522881513499	0 8 30 44 62 72 90 134 138 182 200 210 228 242 264 272	-692903296752
STPT(10)	2667590588881269671	0 2 6 8 48 50 90 92 96 98	-626903540580
STPT(10)	2667590804097809267	0 2 12 14 42 44 72 74 84 86	-411687000984
STPT(10)	2667590979942062639	0 2 12 14 90 92 168 170 180 182	-235842747612
SPT(16)	2667592075066643453	0 24 110 138 218 234 248 276 278 306 320 336 416 444 530 554	859281833202
SPT(16)	2667592378144458473	0 8 18 36 80 144 146 164 210 228 230 294 338 356 366 374	1162359648222
SPT(16)	2667592442946820889	0 14 30 62 68 104 108 122 180 194 198 234 240 272 288 302	1227162010638
SPT(16)	2667592454112272101	0 6 22 42 46 70 78 88 90 100 108 132 136 156 172 178	1238327461850
SPT(16)	2667592494234943183	0 10 28 58 60 76 88 90 94 96 108 124 126 156 174 184	1278450132932