Prime p₀= 1178357672016308867 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: HenkM
db: batch=77, k=10, 2 28 2 40 2

SPT(16)	1178357056201852921	0 6 18 30 60 72 148 160 198 210 286 298 328 340 352 358	-615814455946
SPT(16)	1178357092560986473	0 36 46 58 84 94 100 106 108 114 120 130 156 168 178 214	-579455322394
STPT(10)	1178357096357994557	0 2 54 56 132 134 210 212 264 266	-575658314310
SPT(16)	1178357174051656021	0 22 30 48 168 178 220 246 322 348 390 400 520 538 546 568	-497964652846
STPT(10)	1178357514298702019	0 2 42 44 60 62 78 80 120 122	-157717606848
SPT(16)	1178357573610699421	0 30 36 52 60 102 112 136 162 186 196 238 246 262 268 298	-98405609446
SPT(16)	1178357771097748721	0 6 42 56 60 62 68 78 110 120 126 128 132 146 182 188	99081439854
SPT(16)	1178357776483530547	0 4 76 90 100 126 142 156 190 204 220 246 256 270 342 346	104467221680
SPT(16)	1178358206558886869	0 14 84 90 98 120 164 168 224 228 272 294 302 308 378 392	534542578002
SPT(16)	1178358207268795669	0 58 72 88 90 112 160 168 172 180 228 250 252 268 282 340	535252486802
SPT(16)	1178358401006741807	0 14 20 30 66 72 102 140 156 194 224 230 266 276 282 296	728990432940