Prime p₀= 2157873089668254977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Landjunge
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2157872398247883619	0 12 58 82 100 102 112 130 150 168 178 180 198 222 268 280	-691420371358
SPT(16)	2157872532410484179	0 14 30 44 80 104 120 122 180 182 198 222 258 272 288 302	-557257770798
SPT(16)	2157872611733497277	0 14 20 56 72 80 84 86 150 152 156 164 180 216 222 236	-477934757700
SPT(16)	2157873028550299063	0 16 40 64 66 78 106 150 154 198 226 238 240 264 288 304	-61117955914
STPT(10)	2157873029511968147	0 2 30 32 42 44 54 56 84 86	-60156286830
TPT(14)	2157873080340977849	0 2 48 50 78 80 90 92 132 134 150 152 192 194	-9327277128
SPT(16)	2157873225161832449	0 14 38 42 60 98 102 104 138 140 144 182 200 204 228 242	135493577472
SPT(16)	2157874271237283623	0 14 48 68 138 140 146 168 176 198 204 206 276 296 330 344	1181569028646
TPT(14)	2157874475697016031	0 2 18 20 60 62 90 92 96 98 138 140 156 158	1386028761054
TPT(14)	2157875034324636701	0 2 6 8 48 50 60 62 138 140 216 218 240 242	1944656381724
TPT(14)	2157875323312724357	0 2 84 86 114 116 144 146 192 194 312 314 570 572	2233644469380