Prime p₀= 1971727875385595609 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Cruncher Pete
db: batch=80, k=10, 2 40 2 16 2

STPT(10)	1971726298184463641	0 2 6 8 18 20 30 32 36 38	-1577201131968
SPT(16)	1971726664676628779	0 2 24 90 104 134 150 164 300 314 330 360 374 440 462 464	-1210708966830
SPT(16)	1971727166612785807	0 16 30 40 52 70 106 162 184 240 276 294 306 316 330 346	-708772809802
STPT(10)	1971727223044335257	0 2 54 56 72 74 90 92 144 146	-652341260352
SPT(16)	1971727240497795863	0 18 20 26 78 84 90 98 186 194 200 206 258 264 266 284	-634887799746
STPT(12)	1971727521412359197	0 2 12 14 54 56 60 62 102 104 114 116	-353973236412
SPT(16)	1971727898222229817	0 40 54 106 112 132 154 186 190 222 244 264 270 322 336 376	22836634208
STPT(10)	1971728008674653027	0 2 30 32 42 44 54 56 84 86	133289057418
SPT(16)	1971728117975794973	0 48 56 68 78 86 98 110 114 126 138 146 156 168 176 224	242590199364
STPT(10)	1971728257026632519	0 2 18 20 30 32 42 44 60 62	381641036910
STPT(10)	1971729019856079299	0 2 12 14 30 32 48 50 60 62	1144470483690