Prime p₀= 2999750754142380059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Chaunton
db: batch=82, k=10, 2 46 2 40 2

SPT(16)	2999748884558851729	0 24 40 72 142 178 198 204 238 244 264 300 370 402 418 442	-1869583528330
SPT(16)	2999748957214888913	0 6 86 90 140 188 224 228 236 240 276 324 374 378 458 464	-1796927491146
STPT(10)	2999749236169098767	0 2 54 56 72 74 90 92 144 146	-1517973281292
STPT(10)	2999749394238532469	0 2 78 80 120 122 162 164 240 242	-1359903847590
STPT(10)	2999749980611654729	0 2 18 20 30 32 42 44 60 62	-773530725330
SPT(16)	2999750044937462203	0 30 36 58 70 100 126 156 160 190 216 246 258 280 286 316	-709204917856
STPT(10)	2999750875266911321	0 2 78 80 108 110 138 140 216 218	121124531262
STPT(10)	2999751520104880139	0 2 18 20 30 32 42 44 60 62	765962500080
SPT(16)	2999751595144036273	0 4 24 66 118 126 154 178 186 210 238 246 298 340 360 364	841001656214
SPT(16)	2999751629495288737	0 10 12 66 90 136 150 172 180 202 216 262 286 340 342 352	875352908678
SPT(16)	2999751974414649599	0 8 32 98 122 162 168 182 210 224 230 270 294 360 384 392	1220272269540