Prime p₀= 1273677925845648689 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: HenkM
db: batch=77, k=10, 2 40 2 16 2

STPT(10)	1273676053818954557	0 2 90 92 102 104 114 116 204 206	-1872026694132
SPT(16)	1273676241632657693	0 8 50 54 56 74 98 140 204 246 270 288 290 294 336 344	-1684212990996
STPT(10)	1273676283677230439	0 2 42 44 210 212 378 380 420 422	-1642168418250
SPT(16)	1273676737518750469	0 72 84 102 130 144 168 192 220 244 268 282 310 328 340 412	-1188326898220
SPT(16)	1273677191289985337	0 44 50 72 74 114 122 144 182 204 212 252 254 276 282 326	-734555663352
SPT(16)	1273677678446131687	0 40 46 54 84 100 106 114 196 204 210 226 256 264 270 310	-247399517002
STPT(10)	1273678320728961137	0 2 42 44 72 74 102 104 144 146	394883312448
SPT(16)	1273678520027785799	0 32 48 54 68 90 102 132 140 170 182 204 218 224 240 272	594182137110
SPT(16)	1273678641747466751	0 80 102 128 168 192 222 242 348 368 398 422 462 488 510 590	715901818062
STPT(10)	1273678700599704557	0 2 54 56 72 74 90 92 144 146	774754055868
SPT(16)	1273678736178767183	0 6 14 18 20 30 44 96 158 210 224 234 236 240 248 254	810333118494