Prime p₀= 2499408794374132409 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: [SG-FC] hl
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2499407384654016131	0 12 110 126 152 158 210 228 260 278 330 336 362 378 476 488	-1409720116278
SPT(16)	2499407790264411241	0 12 28 36 96 108 130 138 160 168 190 202 262 270 286 298	-1004109721168
SPT(16)	2499407806207480109	0 8 32 42 54 68 74 102 170 198 204 218 230 240 264 272	-988166652300
STPT(10)	2499407868145051049	0 2 18 20 30 32 42 44 60 62	-926229081360
SPT(16)	2499408252709344601	0 16 18 30 48 60 70 190 198 318 328 340 358 370 372 388	-541664787808
STPT(10)	2499408698093731901	0 2 36 38 78 80 120 122 156 158	-96280400508
STPT(10)	2499409504391957387	0 2 24 26 42 44 60 62 84 86	710017824978
SPT(16)	2499409701863982031	0 36 42 78 82 120 130 138 160 168 178 216 220 256 262 298	907489849622
SPT(16)	2499409830350229011	0 8 42 66 96 116 200 206 222 228 312 332 362 386 420 428	1035976096602
TPT(14)	2499410309341563467	0 2 12 14 54 56 90 92 132 134 150 152 222 224	1514967431058
SPT(16)	2499410551760253877	0 6 12 36 40 42 82 196 210 324 364 366 370 394 400 406	1757386121468