Prime p₀= 1013567946266076557 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: stoneageman
db: batch=76, k=10, 2 28 2 40 2

SPT(16)	1013566163644119469	0 4 40 82 90 124 160 172 222 234 270 304 312 354 390 394	-1782621957088
STPT(10)	1013566958172918839	0 2 18 20 30 32 42 44 60 62	-988093157718
STPT(10)	1013567263606494869	0 2 18 20 30 32 42 44 60 62	-682659581688
STPT(10)	1013567373345328127	0 2 30 32 42 44 54 56 84 86	-572920748430
STPT(10)	1013567869635382667	0 2 12 14 72 74 132 134 144 146	-76630693890
SPT(16)	1013567895320245819	0 12 22 58 82 94 108 120 142 154 168 180 204 240 250 262	-50945830738
STPT(10)	1013568120628246331	0 2 36 38 78 80 120 122 156 158	174362169774
SPT(16)	1013568468573437027	0 6 14 30 62 116 132 150 206 224 240 294 326 342 350 356	522307360470
SPT(16)	1013568580377386879	0 42 72 152 158 170 264 294 308 338 432 444 450 530 560 602	634111310322
SPT(16)	1013568668005311763	0 10 48 118 148 174 190 196 198 204 220 246 276 346 384 394	721739235206
STPT(10)	1013568701939990627	0 2 30 32 72 74 114 116 144 146	755673914070