Prime p₀= 1538809456868705849 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: crashtech
db: batch=78, k=10, 2 40 2 16 2

SPT(16)	1538808467139390103	0 4 10 16 54 94 100 114 166 180 186 226 264 270 276 280	-989729315746
STPT(10)	1538808524372041367	0 2 30 32 42 44 54 56 84 86	-932496664482
TPT(14)	1538808652113447437	0 2 30 32 60 62 204 206 282 284 294 296 324 326	-804755258412
SPT(16)	1538809132317756737	0 6 12 92 102 116 132 140 432 440 456 470 480 560 566 572	-324550949112
TPT(14)	1538809225118128979	0 2 108 110 120 122 138 140 168 170 222 224 240 242	-231750576870
SPT(16)	1538809269935574367	0 30 54 70 142 184 210 250 276 316 342 384 456 472 496 526	-186933131482
STPT(10)	1538809783728955649	0 2 18 20 30 32 42 44 60 62	326860249800
SPT(16)	1538810311171505299	0 58 72 90 118 142 148 160 162 174 180 204 232 250 264 322	854302799450
SPT(16)	1538810746930963361	0 18 20 30 32 56 60 78 170 188 192 216 218 228 230 248	1290062257512
SPT(16)	1538810754850715777	0 14 44 54 72 110 120 132 182 194 204 242 260 270 300 314	1297982009928
SPT(16)	1538810911932632419	0 34 54 82 132 144 154 202 210 258 268 280 330 358 378 412	1455063926570