Prime p₀= 2726691580973969597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 70 2 28 2 28 2 70 2 (?)
a_n: 0 2 72 74 102 104 132 134 204 206
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: 206
Found by: [SG-2W]Kurzer
db: batch=82, k=10, 2 70 2 28 2

SPT(16)	2726690125614352327	0 6 40 52 82 96 126 136 360 370 400 414 444 456 490 496	-1455359617270
STPT(10)	2726691104806106489	0 2 42 44 60 62 78 80 120 122	-476167863108
SPT(16)	2726691110564077757	0 2 6 20 44 62 86 206 210 330 354 372 396 410 414 416	-470409891840
SPT(16)	2726691147920948333	0 14 24 30 56 68 98 114 140 156 186 198 224 230 240 254	-433053021264
SPT(16)	2726691458600699197	0 34 46 60 72 82 90 112 114 136 144 154 166 180 192 226	-122373270400
STPT(10)	2726691461286334481	0 2 36 38 78 80 120 122 156 158	-119687635116
TPT(14)	2726691645006904049	0 2 12 14 102 104 192 194 198 200 222 224 312 314	64032934452
SPT(16)	2726691906091609751	0 36 50 78 96 98 128 176 312 360 390 392 410 438 452 488	325117640154
STPT(10)	2726692118293753031	0 2 36 38 78 80 120 122 156 158	537319783434
SPT(16)	2726692651432455007	0 16 22 66 100 102 150 186 196 232 280 282 316 360 366 382	1070458485410
STPT(12)	2726692912306312847	0 2 30 32 72 74 132 134 174 176 204 206	1331332343250