Prime p₀= 2999301023363628419 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: [SG-FC] hl
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2999299647618079067	0 44 80 84 96 114 126 146 240 260 272 290 302 306 342 386	-1375745549352
TPT(14)	2999299726806987809	0 2 30 32 60 62 78 80 132 134 168 170 258 260	-1296556640610
STPT(10)	2999300162204659499	0 2 42 44 90 92 138 140 180 182	-861158968920
STPT(10)	2999300652622116587	0 2 84 86 132 134 180 182 264 266	-370741511832
SPT(16)	2999300690894118977	0 42 56 80 84 92 114 126 170 182 204 212 216 240 254 296	-332469509442
SPT(16)	2999300815835005709	0 32 68 110 140 144 152 158 174 180 188 192 222 264 300 332	-207528622710
SPT(16)	2999301105590342387	0 20 42 84 92 150 176 224 282 330 356 414 422 464 486 506	82226713968
STPT(10)	2999301161207365361	0 2 6 8 48 50 90 92 96 98	137843736942
STPT(10)	2999301535384750439	0 2 18 20 30 32 42 44 60 62	512021122020
SPT(16)	2999301687763055161	0 18 36 40 42 48 76 82 126 132 160 166 168 172 190 208	664399426742
SPT(16)	2999302095321525869	0 30 38 84 98 128 134 140 222 228 234 264 278 324 332 362	1071957897450