Prime p₀= 1120876299758243837 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: vinn@[CNT]
db: batch=76, k=10, 2 10 2 28 2

SPT(16)	1120874954808115729	0 10 18 24 70 82 88 112 120 144 150 162 208 214 222 232	-1344950128108
SPT(16)	1120874966509601911	0 18 28 46 76 82 102 142 156 196 216 222 252 270 280 298	-1333248641926
SPT(16)	1120875290767741459	0 30 34 52 58 60 70 84 118 132 142 144 150 168 172 202	-1008990502378
STPT(10)	1120875365858993411	0 2 6 8 18 20 30 32 36 38	-933899250426
STPT(10)	1120875585787999661	0 2 6 8 48 50 90 92 96 98	-713970244176
STPT(12)	1120876100861171561	0 2 30 32 60 62 96 98 126 128 156 158	-198897072276
STPT(10)	1120876314318749939	0 2 18 20 30 32 42 44 60 62	14560506102
STPT(10)	1120876524626652851	0 2 36 38 78 80 120 122 156 158	224868409014
STPT(10)	1120876636956802931	0 2 6 8 18 20 30 32 36 38	337198559094
STPT(10)	1120876715351377001	0 2 78 80 108 110 138 140 216 218	415593133164
SPT(16)	1120876829736019451	0 18 50 72 86 110 138 168 170 200 228 252 266 288 320 338	529977775614