Prime p₀= 2177597073426714827 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: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2177596180323894851	0 8 20 26 42 56 72 78 140 146 162 176 192 198 210 218	-893102819976
STPT(10)	2177596239222952811	0 2 6 8 48 50 90 92 96 98	-834203762016
SPT(16)	2177596425731436757	0 12 34 40 42 60 112 120 136 144 196 214 216 222 244 256	-647695278070
SPT(16)	2177596581820647509	0 8 12 20 30 32 54 132 140 218 240 242 252 260 264 272	-491606067318
SPT(16)	2177596589538654049	0 24 42 52 64 72 100 124 138 162 190 198 210 220 238 262	-483888060778
SPT(16)	2177596637559512999	0 48 62 68 74 98 140 170 312 342 384 408 414 420 434 482	-435867201828
STPT(10)	2177597117421800717	0 2 24 26 42 44 60 62 84 86	43995085890
STPT(10)	2177597386105657907	0 2 30 32 42 44 54 56 84 86	312678943080
SPT(16)	2177597567797510037	0 86 116 126 200 212 222 240 242 260 270 282 356 366 396 482	494370795210
SPT(18)	2177597610862401941	0 6 66 78 90 140 176 182 192 236 246 252 288 338 350 362 422 428	537435687114
SPT(16)	2177597730081935747	0 14 54 102 120 122 144 186 200 242 264 266 284 332 372 386	656655220920