Prime p₀= 1148167521172667267 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: crashtech
db: batch=76, k=10, 2 22 2 16 2

SPT(16)	1148166271943277337	0 6 22 34 76 106 142 156 190 204 240 270 312 324 340 346	-1249229389930
SPT(16)	1148166509464935353	0 8 24 50 66 74 96 138 266 308 330 338 354 380 396 404	-1011707731914
SPT(16)	1148167285777363561	0 40 48 72 118 120 136 156 202 222 238 240 286 310 318 358	-235395303706
SPT(16)	1148167377386294561	0 66 98 116 126 132 158 192 206 240 266 272 282 300 332 398	-143786372706
STPT(10)	1148167407645724769	0 2 42 44 120 122 198 200 240 242	-113526942498
STPT(10)	1148167515935883647	0 2 12 14 42 44 72 74 84 86	-5236783620
STPT(10)	1148167604676783599	0 2 18 20 30 32 42 44 60 62	83504116332
SPT(16)	1148167677240701431	0 30 48 52 70 72 142 172 198 228 298 300 318 322 340 370	156068034164
TPT(14)	1148167824498930227	0 2 102 104 150 152 192 194 210 212 264 266 354 356	303326262960
STPT(10)	1148167893665954141	0 2 30 32 78 80 126 128 156 158	372493286874
STPT(10)	1148167970249944289	0 2 48 50 60 62 72 74 120 122	449077277022