Prime p₀= 2097403608778020197 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 28 2 40 2

SPT(16)	2097401716381808491	0 6 28 58 70 72 96 106 132 142 166 168 180 210 232 238	-1892396211706
SPT(16)	2097402021683601551	0 8 156 168 198 228 230 300 338 408 410 440 470 482 630 638	-1587094418646
SPT(16)	2097402069946686233	0 48 56 68 78 96 98 104 120 126 128 146 156 168 176 224	-1538831333964
SPT(16)	2097402141348911653	0 46 54 64 76 78 90 100 144 154 166 168 180 190 198 244	-1467429108544
STPT(10)	2097402267701602571	0 2 78 80 108 110 138 140 216 218	-1341076417626
SPT(16)	2097402695398607669	0 18 50 134 218 224 252 282 380 410 438 444 528 612 644 662	-913379412528
SPT(16)	2097403681905413521	0 6 30 40 48 66 78 100 216 238 250 268 276 286 310 316	73127393324
TPT(14)	2097404546599780931	0 2 36 38 60 62 126 128 186 188 240 242 270 272	937821760734
SPT(16)	2097404746213500851	0 26 80 102 138 140 158 206 282 330 348 350 386 408 462 488	1137435480654
STPT(10)	2097404859749578991	0 2 96 98 108 110 120 122 216 218	1250971558794
STPT(10)	2097405105005628989	0 2 18 20 30 32 42 44 60 62	1496227608792