Prime p₀= 2279011139232743687 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: Orange Kid
db: batch=81, k=10, 2 28 2 40 2

SPT(16)	2279010233161912493	0 36 50 66 74 96 110 140 144 174 188 210 218 234 248 284	-906070831194
SPT(16)	2279010308890245089	0 14 42 48 80 90 92 108 134 150 152 162 194 200 228 242	-830342498598
TPT(14)	2279010332317597007	0 2 42 44 54 56 132 134 150 152 180 182 192 194	-806915146680
TPT(14)	2279010625570770491	0 2 30 32 78 80 96 98 108 110 138 140 156 158	-513661973196
SPT(16)	2279010826837314953	0 50 78 104 180 186 194 210 284 300 308 314 390 416 444 494	-312395428734
SPT(16)	2279011042468689181	0 6 16 46 72 126 196 240 298 342 412 466 492 522 532 538	-96764054506
SPT(16)	2279011576598583691	0 22 46 88 102 172 190 208 270 288 306 376 390 432 456 478	437365840004
STPT(10)	2279011880535367499	0 2 18 20 30 32 42 44 60 62	741302623812
SPT(16)	2279012237523767497	0 24 72 94 112 120 126 142 174 190 196 204 222 244 292 316	1098291023810
STPT(10)	2279012656152884999	0 2 42 44 90 92 138 140 180 182	1516920141312
STPT(12)	2279013085758962207	0 2 30 32 54 56 90 92 114 116 144 146	1946526218520