Prime p₀= 2146985889859669667 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 52 2 16 2 16 2 52 2 (?)
a_n: 0 2 54 56 72 74 90 92 144 146
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=80, k=10, 2 52 2 16 2

SPT(16)	2146984748555075509	0 40 42 58 70 120 124 198 244 318 322 372 384 400 402 442	-1141304594158
SPT(16)	2146984998662165723	0 24 68 78 98 110 138 164 234 260 288 300 320 330 374 398	-891197503944
STPT(10)	2146985223458905799	0 2 12 14 30 32 48 50 60 62	-666400763868
SPT(16)	2146985281081697041	0 46 60 82 130 150 166 192 196 222 238 258 306 328 342 388	-608777972626
STPT(10)	2146985344875372899	0 2 18 20 30 32 42 44 60 62	-544984296768
STPT(10)	2146985435118946151	0 2 36 38 78 80 120 122 156 158	-454740723516
SPT(16)	2146985892887966749	0 22 24 40 58 82 108 120 142 154 180 204 222 238 240 262	3028297082
SPT(16)	2146985993979103217	0 6 14 62 72 92 114 132 134 152 174 194 204 252 260 266	104119433550
STPT(10)	2146986314351136857	0 2 30 32 42 44 54 56 84 86	424491467190
STPT(10)	2146986588148632341	0 2 66 68 138 140 210 212 276 278	698288962674
SPT(20)	2146987024176776297	0 6 32 36 42 62 102 176 206 216 260 270 300 374 414 434 440 444 470 476	1134317106630