Prime p₀= 1121366798844250337 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Dr Who Fan
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1121365479633172303	0 18 28 34 40 60 66 244 270 448 454 474 480 486 496 514	-1319211078034
SPT(16)	1121366279416066331	0 18 20 26 30 110 128 140 186 198 216 296 300 306 308 326	-519428184006
TPT(14)	1121366436485670209	0 2 30 32 48 50 90 92 102 104 132 134 162 164	-362358580128
SPT(16)	1121366441649081871	0 6 28 40 42 78 102 130 168 196 220 256 258 270 292 298	-357195168466
STPT(10)	1121366584731806597	0 2 30 32 60 62 90 92 120 122	-214112443740
STPT(10)	1121366661415620419	0 2 48 50 60 62 72 74 120 122	-137428629918
SPT(16)	1121366959976839519	0 10 84 118 124 150 154 180 322 348 352 378 384 418 492 502	161132589182
SPT(16)	1121367191765187863	0 56 66 114 126 140 188 194 210 216 264 278 290 338 348 404	392920937526
SPT(16)	1121367383792052779	0 12 44 54 90 104 140 152 162 174 210 224 260 270 302 314	584947802442
TPT(14)	1121367411846914717	0 2 60 62 114 116 132 134 312 314 552 554 564 566	613002664380
STPT(10)	1121367839297737019	0 2 18 20 30 32 42 44 60 62	1040453486682