Prime p₀= 1296877920509941871 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 40 2 40 2 4 2 (?)
a_n: 0 2 6 8 48 50 90 92 96 98
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: 98
Found by: Cruncher Pete
db: batch=77, k=10, 2 4 2 40 2

SPT(16)	1296877087066727191	0 18 58 60 70 90 120 142 186 208 238 258 268 270 310 328	-833443214680
STPT(12)	1296877198091839877	0 2 42 44 60 62 102 104 120 122 162 164	-722418101994
SPT(16)	1296877207083069289	0 12 30 40 42 72 130 150 340 360 418 448 450 460 478 490	-713426872582
TPT(14)	1296877257098875481	0 2 30 32 66 68 78 80 126 128 168 170 330 332	-663411066390
STPT(10)	1296877549369728449	0 2 12 14 30 32 48 50 60 62	-371140213422
SPT(18)	1296877882972464977	0 2 62 72 104 114 144 240 294 500 554 650 680 690 722 732 792 794	-37537476894
SPT(16)	1296878009621774179	0 18 22 70 88 90 118 150 190 222 250 252 270 318 322 340	89111832308
SPT(16)	1296878260785439769	0 2 12 20 48 68 78 84 98 104 114 134 162 170 180 182	340275497898
STPT(10)	1296878385989052257	0 2 30 32 42 44 54 56 84 86	465479110386
STPT(10)	1296878696972048189	0 2 18 20 30 32 42 44 60 62	776462106318
SPT(16)	1296878738317159157	0 12 42 86 114 122 140 146 150 156 174 182 210 254 284 296	817807217286