Prime p₀= 1267554154574235527 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: stoneageman
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1267552937995710767	0 24 56 84 90 114 146 186 254 294 326 350 356 384 416 440	-1216578524760
STPT(10)	1267553226372696971	0 2 36 38 78 80 120 122 156 158	-928201538556
TPT(14)	1267553479794126461	0 2 96 98 126 128 138 140 186 188 198 200 210 212	-674780109066
SPT(16)	1267553508046557449	0 48 60 78 90 102 132 144 158 170 200 212 224 242 254 302	-646527678078
SPT(16)	1267553599553879653	0 36 60 64 100 114 130 166 168 204 220 234 270 274 298 334	-555020355874
STPT(10)	1267553747522761547	0 2 30 32 60 62 90 92 120 122	-407051473980
SPT(16)	1267554281363722259	0 12 68 144 152 162 182 200 252 270 290 300 308 384 440 452	126789486732
SPT(16)	1267554319026748411	0 10 58 96 126 136 142 168 220 246 252 262 292 330 378 388	164452512884
SPT(16)	1267554329599303489	0 18 22 42 58 78 102 178 204 280 304 324 340 360 364 382	175025067962
STPT(10)	1267554415432597517	0 2 30 32 42 44 54 56 84 86	260858361990
SPT(16)	1267554765284520437	0 44 60 86 90 110 152 176 180 204 246 266 270 296 312 356	610710284910