Prime p₀= 740828363577740687 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: Theadalus
db: batch=73, k=10, 2 28 2 10 2

SPT(16)	740827293835276621	0 28 42 58 102 120 130 142 168 180 190 208 252 268 282 310	-1069742464066
SPT(16)	740827507680728051	0 80 122 132 140 146 150 156 182 188 192 198 206 216 258 338	-855897012636
STPT(10)	740827544525107841	0 2 6 8 48 50 90 92 96 98	-819052632846
SPT(16)	740827844797907231	0 36 50 56 60 66 80 98 138 156 170 176 180 186 200 236	-518779833456
SPT(16)	740828147524349219	0 12 20 32 48 62 80 98 114 132 150 164 180 192 200 212	-216053391468
STPT(10)	740828162762267507	0 2 54 56 72 74 90 92 144 146	-200815473180
SPT(16)	740828418552667399	0 12 28 52 58 84 94 100 132 138 148 174 180 204 220 232	54974926712
STPT(12)	740828726891160371	0 2 6 8 48 50 78 80 120 122 126 128	363313419684
STPT(10)	740828947951516691	0 2 36 38 78 80 120 122 156 158	584373776004
SPT(16)	740829076596387167	0 12 26 30 32 36 44 50 96 102 110 114 116 120 134 146	713018646480
SPT(16)	740829257088896401	0 10 12 88 118 138 166 186 292 312 340 360 390 466 468 478	893511155714