Prime p₀= 2070601550347946171 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 28 2 28 2 76 2 (?)
a_n: 0 2 78 80 108 110 138 140 216 218
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: 218
Found by: Cruncher Pete
db: batch=80, k=10, 2 76 2 28 2

SPT(16)	2070599865177441151	0 22 28 36 42 58 88 130 168 210 240 256 262 270 276 298	-1685170505020
STPT(10)	2070600428906839787	0 2 60 62 72 74 84 86 144 146	-1121441106384
SPT(16)	2070600510572052607	0 4 12 16 40 42 46 82 84 120 124 126 150 154 162 166	-1039775893564
STPT(10)	2070600682523595119	0 2 18 20 30 32 42 44 60 62	-867824351052
TPT(14)	2070601058556323297	0 2 12 14 30 32 90 92 132 134 210 212 342 344	-491791622874
TPT(14)	2070601350868993667	0 2 30 32 72 74 84 86 90 92 114 116 174 176	-199478952504
SPT(16)	2070601814087385233	0 36 44 50 56 114 128 156 308 336 350 408 414 420 428 464	263739439062
SPT(16)	2070602358027168863	0 30 36 50 74 84 126 144 200 218 260 270 294 308 314 344	807679222692
STPT(12)	2070602917559433119	0 2 18 20 42 44 78 80 102 104 120 122	1367211486948
STPT(10)	2070603150040991747	0 2 30 32 42 44 54 56 84 86	1599693045576
SPT(16)	2070603172670905849	0 30 34 54 58 78 82 88 114 120 124 144 148 168 172 202	1622322959678