Prime p₀= 1257983456570995241 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: [AF>Libristes] Elorak
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1257982389446275621	0 46 60 78 118 148 162 190 198 226 240 270 310 328 342 388	-1067124719620
STPT(10)	1257982415589979109	0 2 18 20 30 32 42 44 60 62	-1040981016132
SPT(16)	1257982775604697537	0 6 16 36 42 64 72 156 160 244 252 274 280 300 310 316	-680966297704
TPT(14)	1257982814831018831	0 2 78 80 156 158 168 170 198 200 228 230 240 242	-641739976410
STPT(10)	1257982814831018987	0 2 12 14 42 44 72 74 84 86	-641739976254
SPT(16)	1257983111062659893	0 30 66 134 146 170 198 204 260 266 294 318 330 398 434 464	-345508335348
SPT(16)	1257983573284744261	0 18 46 48 90 102 238 250 258 270 406 418 460 462 490 508	116713749020
STPT(10)	1257983576360056277	0 2 90 92 132 134 174 176 264 266	119789061036
SPT(16)	1257983601265095959	0 18 24 30 38 90 104 140 192 228 242 294 302 308 314 332	144694100718
SPT(16)	1257983697345628399	0 4 28 40 48 84 90 108 154 172 178 214 222 234 258 262	240774633158
STPT(10)	1257984036802347497	0 2 30 32 42 44 54 56 84 86	580231352256