Prime p₀= 1268563087322100539 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: Megacruncher
db: batch=77, k=10, 2 10 2 16 2

SPT(16)	1268561142788504911	0 10 12 48 106 126 132 150 178 196 202 222 280 316 318 328	-1944533595628
STPT(12)	1268561767131720989	0 2 12 14 30 32 72 74 90 92 102 104	-1320190379550
STPT(10)	1268562484143211247	0 2 12 14 42 44 72 74 84 86	-603178889292
SPT(16)	1268562542688574823	0 26 54 104 128 180 204 216 218 230 254 306 330 380 408 434	-544633525716
SPT(16)	1268562910192947847	0 30 66 90 102 136 150 162 184 196 210 244 256 280 316 346	-177129152692
STPT(10)	1268562978567064001	0 2 6 8 48 50 90 92 96 98	-108755036538
SPT(16)	1268563368305856281	0 8 60 86 98 102 116 128 150 162 176 180 192 218 270 278	280983755742
SPT(16)	1268563509035704891	0 10 42 48 58 60 118 120 268 270 328 330 340 346 378 388	421713604352
STPT(10)	1268563887858799757	0 2 30 32 42 44 54 56 84 86	800536699218
SPT(16)	1268563932193715849	0 38 48 60 72 102 104 108 164 168 170 200 212 224 234 272	844871615310
SPT(16)	1268563932981740047	0 6 24 34 52 72 76 90 196 210 214 234 252 262 280 286	845659639508