Prime p₀= 1273678700599704557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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: 146
Found by: Theadalus
db: batch=77, k=10, 2 52 2 16 2

SPT(16)	1273677191289985337	0 44 50 72 74 114 122 144 182 204 212 252 254 276 282 326	-1509309719220
SPT(16)	1273677678446131687	0 40 46 54 84 100 106 114 196 204 210 226 256 264 270 310	-1022153572870
STPT(10)	1273677925845648689	0 2 42 44 60 62 78 80 120 122	-774754055868
STPT(10)	1273678320728961137	0 2 42 44 72 74 102 104 144 146	-379870743420
SPT(16)	1273678520027785799	0 32 48 54 68 90 102 132 140 170 182 204 218 224 240 272	-180571918758
SPT(16)	1273678641747466751	0 80 102 128 168 192 222 242 348 368 398 422 462 488 510 590	-58852237806
SPT(16)	1273678736178767183	0 6 14 18 20 30 44 96 158 210 224 234 236 240 248 254	35579062626
STPT(10)	1273678942400359907	0 2 24 26 42 44 60 62 84 86	241800655350
SPT(16)	1273678946072358949	0 22 60 120 148 154 162 168 244 250 258 264 292 352 390 412	245472654392
SPT(16)	1273678973601714139	0 12 18 48 52 64 70 78 94 102 108 120 124 154 160 172	273002009582
TPT(14)	1273679155020594137	0 2 30 32 90 92 114 116 180 182 294 296 342 344	454420889580