Prime p₀= 1147260679526285057 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Alnitak2019
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1147259838701979757	0 66 76 100 144 172 186 214 222 250 264 292 336 360 370 436	-840824305300
STPT(10)	1147260036858949859	0 2 18 20 30 32 42 44 60 62	-642667335198
SPT(16)	1147260049441978733	0 48 78 98 126 144 150 174 200 224 230 248 276 296 326 374	-630084306324
SPT(16)	1147260288860304023	0 26 30 54 56 80 86 98 126 138 144 168 170 194 198 224	-390665981034
STPT(10)	1147260350858329889	0 2 18 20 30 32 42 44 60 62	-328667955168
STPT(10)	1147260567813748481	0 2 36 38 78 80 120 122 156 158	-111712536576
STPT(10)	1147260898070825519	0 2 42 44 60 62 78 80 120 122	218544540462
SPT(16)	1147260950940949913	0 6 18 26 74 78 90 96 98 104 116 120 168 176 188 194	271414664856
STPT(10)	1147261170915168941	0 2 30 32 78 80 126 128 156 158	491388883884
SPT(16)	1147261791498212603	0 26 56 66 174 206 230 254 276 300 324 356 464 474 504 530	1111971927546
SPT(16)	1147261836350355109	0 48 102 108 160 180 220 250 270 300 340 360 412 418 472 520	1156824070052