Prime p₀= 1196946875683538657 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: xii5ku
db: batch=77, k=10, 2 10 2 28 2

SPT(20)	1196944851514816451	0 6 26 32 68 92 98 120 152 180 188 216 248 270 276 300 336 342 362 368	-2024168722206
STPT(10)	1196946090086506061	0 2 30 32 78 80 126 128 156 158	-785597032596
STPT(10)	1196946182892322547	0 2 24 26 42 44 60 62 84 86	-692791216110
STPT(10)	1196946721702825547	0 2 24 26 42 44 60 62 84 86	-153980713110
SPT(16)	1196946798776627029	0 28 54 82 138 148 190 204 208 222 264 274 330 358 384 412	-76906911628
SPT(16)	1196946871286293069	0 12 18 24 40 60 64 82 90 108 112 132 148 154 160 172	-4397245588
STPT(10)	1196947608284783627	0 2 24 26 42 44 60 62 84 86	732601244970
STPT(10)	1196947885614731321	0 2 30 32 78 80 126 128 156 158	1009931192664
SPT(16)	1196947896248467859	0 2 84 90 122 150 192 224 240 272 314 342 374 380 462 464	1020564929202
STPT(10)	1196949007887527771	0 2 30 32 60 62 90 92 120 122	2132203989114
SPT(16)	1196949599075738411	0 26 38 50 56 66 80 96 140 156 170 180 186 198 210 236	2723392199754