Prime p₀= 2721909956788826897 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2721908382778046291	0 12 92 96 120 140 146 152 156 162 168 188 212 216 296 308	-1574010780606
SPT(16)	2721908445189828007	0 12 36 100 106 126 196 240 262 306 376 396 402 466 490 502	-1511598998890
SPT(16)	2721908616923234771	0 8 36 42 48 96 110 116 162 168 182 230 236 242 270 278	-1339865592126
SPT(18)	2721908661052002581	0 32 42 48 78 98 120 132 146 162 176 188 210 230 260 266 276 308	-1295736824316
STPT(10)	2721909056432626901	0 2 36 38 78 80 120 122 156 158	-900356199996
SPT(16)	2721909631445728639	0 18 54 58 84 108 112 154 168 210 214 238 264 268 304 322	-325343098258
SPT(16)	2721910219243583339	0 2 12 44 80 98 110 122 300 312 324 342 378 410 420 422	262454756442
STPT(10)	2721910463783055707	0 2 30 32 42 44 54 56 84 86	506994228810
SPT(16)	2721910719307924993	0 16 18 28 46 94 114 150 154 190 210 258 276 286 288 304	762519098096
SPT(16)	2721910913186367697	0 40 54 70 82 114 240 244 372 376 502 534 546 562 576 616	956397540800
SPT(16)	2721911143579447571	0 6 20 48 108 120 138 170 258 290 308 320 380 408 422 428	1186790620674