Prime p₀= 1044631946188118339 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-2W]Kurzer
db: batch=76, k=10, 2 16 2 10 2

SPT(16)	1044630756738842929	0 28 34 54 64 120 138 190 192 244 262 318 328 348 354 382	-1189449275410
STPT(10)	1044630958363091987	0 2 30 32 42 44 54 56 84 86	-987825026352
SPT(20)	1044631300053459397	0 42 114 154 192 226 240 244 264 286 360 382 402 406 420 454 492 532 604 646	-646134658942
STPT(10)	1044631432687192211	0 2 36 38 78 80 120 122 156 158	-513500926128
STPT(10)	1044631565240928317	0 2 42 44 72 74 102 104 144 146	-380947190022
SPT(16)	1044631776964309297	0 24 30 64 66 84 124 156 190 222 262 280 282 316 322 346	-169223809042
SPT(16)	1044632008610731313	0 14 26 86 126 128 134 164 180 210 216 218 258 318 330 344	62422612974
STPT(10)	1044632109767913761	0 2 6 8 48 50 90 92 96 98	163579795422
SPT(16)	1044632223316659443	0 26 36 78 90 96 120 126 140 146 170 176 188 230 240 266	277128541104
SPT(16)	1044632381534186311	0 52 70 72 96 118 142 166 252 276 300 322 346 348 366 418	435346067972
SPT(16)	1044632437394751389	0 8 20 48 60 74 120 132 170 182 228 242 254 282 294 302	491206633050