Prime p₀= 1237707382090619987 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: amazing
db: batch=77, k=10, 2 28 2 10 2

SPT(16)	1237706391793882459	0 4 70 72 94 172 228 238 264 274 330 408 430 432 498 502	-990296737528
SPT(16)	1237706474655739873	0 24 30 114 124 156 168 180 184 196 208 240 250 334 340 364	-907434880114
STPT(10)	1237706499241387337	0 2 30 32 42 44 54 56 84 86	-882849232650
SPT(16)	1237706940262216421	0 2 20 30 72 86 156 188 240 272 342 356 398 408 426 428	-441828403566
STPT(12)	1237707232238371637	0 2 30 32 42 44 72 74 84 86 114 116	-149852248350
STPT(10)	1237707328309545557	0 2 90 92 102 104 114 116 204 206	-53781074430
SPT(16)	1237707403031035171	0 70 78 82 112 120 126 222 316 412 418 426 456 460 468 538	20940415184
SPT(16)	1237707449497496141	0 20 26 48 50 80 86 108 110 132 138 168 170 192 198 218	67406876154
STPT(10)	1237707656129698079	0 2 18 20 30 32 42 44 60 62	274039078092
STPT(10)	1237707721792352639	0 2 12 14 90 92 168 170 180 182	339701732652
STPT(10)	1237708144529267417	0 2 30 32 42 44 54 56 84 86	762438647430