Prime p₀= 1246875462865662281 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: emoga
db: batch=77, k=10, 2 34 2 40 2

STPT(10)	1246874827394117807	0 2 30 32 72 74 114 116 144 146	-635471544474
SPT(16)	1246874992460515199	0 8 18 20 60 78 104 134 234 264 290 308 348 350 360 368	-470405147082
SPT(16)	1246875060211516691	0 60 126 156 218 228 230 270 296 336 338 348 410 440 506 566	-402654145590
SPT(16)	1246875178929988369	0 4 12 34 48 54 58 60 82 84 88 94 108 130 138 142	-283935673912
SPT(16)	1246875219529697437	0 4 10 42 60 120 124 130 144 150 154 214 232 264 270 274	-243335964844
STPT(10)	1246875328352829347	0 2 42 44 72 74 102 104 144 146	-134512832934
STPT(10)	1246875684532769987	0 2 90 92 150 152 210 212 300 302	221667107706
STPT(10)	1246875695192851481	0 2 6 8 18 20 30 32 36 38	232327189200
STPT(10)	1246875944392155767	0 2 30 32 42 44 54 56 84 86	481526493486
STPT(10)	1246876221234829709	0 2 18 20 30 32 42 44 60 62	758369167428
SPT(16)	1246876258601802931	0 6 18 36 58 190 198 238 330 370 378 510 532 550 562 568	795736140650