Prime p₀= 2114001643689843107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: gemini8
db: batch=80, k=10, 2 10 2 58 2

SPT(16)	2114000534749424807	0 36 56 66 96 132 140 146 156 162 170 206 236 246 266 302	-1108940418300
STPT(10)	2114000590883588777	0 2 30 32 42 44 54 56 84 86	-1052806254330
SPT(16)	2114000628138615631	0 6 42 48 52 70 72 88 90 106 108 126 130 136 172 178	-1015551227476
SPT(13)	2114001012479102459	0 84 150 168 174 228 234 240 294 300 318 384 468	-631210740648
STPT(10)	2114001493280009699	0 2 42 44 60 62 78 80 120 122	-150409833408
SPT(16)	2114001632952127291	0 46 72 76 112 130 132 172 240 280 282 300 336 340 366 412	-10737715816
STPT(10)	2114001932276907269	0 2 18 20 60 62 102 104 120 122	288587064162
STPT(10)	2114002313220830819	0 2 42 44 90 92 138 140 180 182	669530987712
STPT(10)	2114002774871167091	0 2 6 8 18 20 30 32 36 38	1131181323984
STPT(10)	2114003021330385929	0 2 78 80 120 122 162 164 240 242	1377640542822
STPT(10)	2114003957985552131	0 2 36 38 78 80 120 122 156 158	2314295709024