Prime p₀= 1273583297065838579 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: HenkM
db: batch=77, k=10, 2 16 2 10 2

SPT(16)	1273581892071412639	0 22 30 34 70 72 84 114 148 178 190 192 228 232 240 262	-1404994425940
STPT(10)	1273582150311910331	0 2 6 8 48 50 90 92 96 98	-1146753928248
SPT(16)	1273582227644410843	0 24 34 60 70 78 118 130 168 180 220 228 238 264 274 298	-1069421427736
TPT(14)	1273582765115650277	0 2 72 74 120 122 192 194 222 224 252 254 294 296	-531950188302
STPT(10)	1273582833200733017	0 2 30 32 42 44 54 56 84 86	-463865105562
SPT(16)	1273583006979453341	0 20 26 42 56 78 98 120 188 210 230 252 266 282 288 308	-290086385238
STPT(10)	1273583379067940177	0 2 12 14 42 44 72 74 84 86	82002101598
SPT(16)	1273584018338290019	0 30 48 62 72 78 110 188 204 282 314 320 330 344 362 392	721272451440
SPT(16)	1273584151256309491	0 112 126 130 156 162 190 196 216 222 250 256 282 286 300 412	854190470912
TPT(14)	1273584175795012691	0 2 30 32 36 38 120 122 126 128 150 152 240 242	878729174112
SPT(16)	1273584473411308021	0 18 36 46 82 108 120 126 172 178 190 216 252 262 280 298	1176345469442