Prime p₀= 1016777719945005059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Skivelitis2
db: batch=76, k=10, 2 16 2 10 2

TPT(14)	1016777010341720819	0 2 90 92 120 122 198 200 228 230 462 464 492 494	-709603284240
STPT(10)	1016777013348858647	0 2 12 14 72 74 132 134 144 146	-706596146412
SPT(16)	1016777207824503823	0 40 48 54 106 120 126 154 180 208 214 228 280 286 294 334	-512120501236
STPT(10)	1016777325182450147	0 2 30 32 42 44 54 56 84 86	-394762554912
SPT(16)	1016777327063357053	0 36 64 78 126 174 178 216 238 276 280 328 376 390 418 454	-392881648006
SPT(16)	1016777412707728781	0 6 32 42 50 90 96 102 170 176 182 222 230 240 266 272	-307237276278
STPT(10)	1016777807964381059	0 2 42 44 60 62 78 80 120 122	88019376000
SPT(16)	1016777965269699323	0 56 66 80 96 126 158 186 188 216 248 278 294 308 318 374	245324694264
SPT(16)	1016778136736952713	0 26 36 48 78 84 116 126 188 198 230 236 266 278 288 314	416791947654
SPT(16)	1016778447240201683	0 44 48 50 60 90 114 140 204 230 254 284 294 296 300 344	727295196624
SPT(16)	1016778891310656337	0 24 30 52 64 90 142 222 262 342 394 420 432 454 460 484	1171365651278