Prime p₀= 2147004702344691977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 58 2 10 2 10 2 58 2 (?)
a_n: 0 2 60 62 72 74 84 86 144 146
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: 146
Found by: Landjunge
db: batch=80, k=10, 2 58 2 10 2

STPT(10)	2147003800954578701	0 2 36 38 78 80 120 122 156 158	-901390113276
SPT(16)	2147003892668321207	0 2 6 14 24 30 36 44 132 140 146 152 162 170 174 176	-809676370770
SPT(16)	2147004014119443313	0 4 18 46 64 84 118 148 156 186 220 240 258 286 300 304	-688225248664
SPT(16)	2147004034300182727	0 40 60 124 130 154 180 280 360 460 486 510 516 580 600 640	-668044509250
STPT(10)	2147004134342510879	0 2 18 20 60 62 102 104 120 122	-568002181098
STPT(10)	2147004431239219301	0 2 36 38 78 80 120 122 156 158	-271105472676
STPT(10)	2147004873585601187	0 2 30 32 72 74 114 116 144 146	171240909210
STPT(10)	2147005234623778391	0 2 36 38 78 80 120 122 156 158	532279086414
SPT(16)	2147005244325660767	0 26 54 74 86 90 96 114 182 200 206 210 222 242 270 296	541980968790
SPT(16)	2147005753633942723	0 34 46 78 96 106 126 148 186 208 228 238 256 288 300 334	1051289250746
STPT(10)	2147006029868231969	0 2 48 50 90 92 132 134 180 182	1327523539992