Prime p₀= 2178159771234890291 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: [SG-FC] hl
db: batch=81, k=10, 2 28 2 28 2

SPT(16)	2178158760824685209	0 8 32 60 90 114 120 132 140 152 158 182 212 240 264 272	-1010410205082
TPT(14)	2178159373895492369	0 2 18 20 42 44 72 74 90 92 198 200 312 314	-397339397922
SPT(16)	2178159425312183629	0 12 24 40 60 72 82 144 148 210 220 232 252 268 280 292	-345922706662
SPT(16)	2178159563217342853	0 18 30 70 100 126 148 150 184 186 208 234 264 304 316 334	-208017547438
SPT(16)	2178159588321074801	0 18 36 98 120 122 176 230 288 342 396 398 420 482 500 518	-182913815490
SPT(16)	2178159688855530581	0 18 26 42 48 66 80 108 260 288 302 320 326 342 350 368	-82379359710
SPT(16)	2178159847988136113	0 6 44 48 96 114 170 188 216 234 290 308 356 360 398 404	76753245822
STPT(10)	2178159849994658597	0 2 12 14 42 44 72 74 84 86	78759768306
STPT(10)	2178160187230576979	0 2 42 44 150 152 258 260 300 302	415995686688
TPT(14)	2178160204212605441	0 2 6 8 36 38 96 98 168 170 246 248 288 290	432977715150
STPT(10)	2178160516853768729	0 2 42 44 60 62 78 80 120 122	745618878438