Prime p₀= 2223979850393201519 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: MarkRBright
db: batch=81, k=10, 2 10 2 76 2

SPT(16)	2223979020006978071	0 26 36 90 92 110 116 120 158 162 168 186 188 242 252 278	-830386223448
STPT(10)	2223979271955646367	0 2 30 32 42 44 54 56 84 86	-578437555152
SPT(16)	2223979429423534961	0 78 122 128 150 156 162 222 236 296 302 308 330 336 380 458	-420969666558
STPT(10)	2223979478448166259	0 2 18 20 30 32 42 44 60 62	-371945035260
SPT(16)	2223979591781405903	0 14 26 48 74 78 96 104 300 308 326 330 356 378 390 404	-258611795616
TPT(14)	2223979789481996591	0 2 90 92 126 128 138 140 180 182 276 278 288 290	-60911204928
SPT(16)	2223979945905073289	0 38 42 44 98 104 108 138 164 194 198 204 258 260 264 302	95511871770
SPT(16)	2223980029567179199	0 42 60 84 154 172 180 210 232 262 270 288 358 382 400 442	179173977680
STPT(10)	2223980034191858177	0 2 42 44 72 74 102 104 144 146	183798656658
SPT(16)	2223980081071115417	0 14 32 56 92 110 114 144 152 182 186 204 240 264 282 296	230677913898
SPT(16)	2223980086192635431	0 6 20 38 62 72 90 92 126 128 146 156 180 198 212 218	235799433912