Prime p₀= 1142325175931200757 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: Theadalus
db: batch=76, k=10, 2 58 2 10 2

SPT(16)	1142324113624247971	0 40 60 88 106 130 132 156 172 196 198 222 240 268 288 328	-1062306952786
STPT(10)	1142324144204951801	0 2 36 38 78 80 120 122 156 158	-1031726248956
TPT(14)	1142324289737126651	0 2 36 38 108 110 156 158 240 242 348 350 366 368	-886194074106
STPT(10)	1142324781427120931	0 2 6 8 48 50 90 92 96 98	-394504079826
TPT(14)	1142324950414913099	0 2 90 92 102 104 132 134 168 170 198 200 258 260	-225516287658
SPT(16)	1142325161352216211	0 6 42 88 90 102 112 138 250 276 286 298 300 346 382 388	-14578984546
SPT(16)	1142325704537347963	0 6 28 34 58 150 154 156 178 180 184 276 300 306 328 334	528606147206
TPT(14)	1142325984895649009	0 2 120 122 198 200 252 254 330 332 408 410 432 434	808964448252
STPT(10)	1142326084331572109	0 2 12 14 30 32 48 50 60 62	908400371352
SPT(16)	1142326258489061623	0 60 108 124 126 154 228 256 258 286 360 388 390 406 454 514	1082557860866
SPT(16)	1142326496616304411	0 16 42 88 96 102 118 142 156 180 196 202 210 256 282 298	1320685103654