Prime p₀= 2751128815040296697 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: [SG-FC] hl
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2751126286725352219	0 12 28 54 120 154 190 192 220 222 258 292 358 384 400 412	-2528314944478
TPT(14)	2751126466660406039	0 2 60 62 72 74 102 104 162 164 168 170 240 242	-2348379890658
SPT(16)	2751126700049446937	0 44 66 84 86 92 96 110 126 140 144 150 152 170 192 236	-2114990849760
STPT(10)	2751127979041052519	0 2 18 20 30 32 42 44 60 62	-835999244178
STPT(10)	2751128566106680049	0 2 42 44 90 92 138 140 180 182	-248933616648
TPT(14)	2751128634583485887	0 2 12 14 42 44 90 92 162 164 174 176 210 212	-180456810810
STPT(10)	2751129046422478451	0 2 36 38 78 80 120 122 156 158	231382181754
STPT(10)	2751129337035758561	0 2 36 38 78 80 120 122 156 158	521995461864
SPT(16)	2751129366462701671	0 10 12 52 82 108 118 168 250 300 310 336 366 406 408 418	551422404974
STPT(10)	2751129521818746317	0 2 12 14 42 44 72 74 84 86	706778449620
SPT(16)	2751130189753050877	0 6 52 94 100 132 142 184 312 354 364 396 402 444 490 496	1374712754180