Prime p₀= 2713790341718443199 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: JayPi
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2713789542483739411	0 66 72 102 142 172 202 300 388 486 516 546 586 616 622 688	-799234703788
SPT(16)	2713789826045073569	0 44 50 80 98 134 164 230 282 348 378 414 432 462 468 512	-515673369630
STPT(10)	2713790176261593017	0 2 30 32 42 44 54 56 84 86	-165456850182
STPT(12)	2713790196195849887	0 2 30 32 42 44 72 74 84 86 114 116	-145522593312
STPT(10)	2713790300192551211	0 2 30 32 78 80 126 128 156 158	-41525891988
STPT(10)	2713790329843172441	0 2 36 38 78 80 120 122 156 158	-11875270758
SPT(16)	2713790747749253923	0 46 90 100 108 114 144 148 156 160 190 196 204 214 258 304	406030810724
SPT(13)	2713790824830843101	0 12 18 108 168 198 210 222 252 312 402 408 420	483112399902
STPT(10)	2713790940087149147	0 2 30 32 42 44 54 56 84 86	598368705948
SPT(16)	2713791594473407169	0 30 78 80 98 102 140 168 194 222 260 264 282 284 332 362	1252754963970
TPT(14)	2713791647840239787	0 2 30 32 60 62 72 74 84 86 132 134 144 146	1306121796588