Prime p₀= 1212046195792453127 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Megacruncher
db: batch=77, k=10, 2 10 2 28 2

SPT(16)	1212045517949099369	0 20 54 78 134 188 222 258 314 350 384 438 494 518 552 572	-677843353758
SPT(16)	1212045600156370783	0 4 30 40 124 144 154 166 228 240 250 270 354 364 390 394	-595636082344
STPT(10)	1212045632708160707	0 2 30 32 72 74 114 116 144 146	-563084292420
SPT(16)	1212045681459119209	0 22 24 52 82 148 174 204 208 238 264 330 360 388 390 412	-514333333918
STPT(12)	1212045827818472279	0 2 12 14 42 44 48 50 78 80 90 92	-367973980848
STPT(10)	1212046002272532527	0 2 90 92 102 104 114 116 204 206	-193519920600
SPT(16)	1212046296234640877	0 2 6 26 36 50 54 110 156 212 216 230 240 260 264 266	100442187750
SPT(16)	1212046344992041583	0 8 30 78 114 120 134 204 254 324 338 344 380 428 450 458	149199588456
STPT(10)	1212046453039726391	0 2 6 8 48 50 90 92 96 98	257247273264
SPT(16)	1212046476737291623	0 4 16 30 46 54 120 154 180 214 280 288 304 318 330 334	280944838496
SPT(16)	1212046985136279073	0 40 66 106 168 196 204 214 270 280 288 316 378 418 444 484	789343825946