Prime p₀= 2069654761883787107 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Cruncher Pete
db: batch=80, k=10, 2 10 2 28 2

STPT(10)	2069653402310809877	0 2 42 44 72 74 102 104 144 146	-1359572977230
SPT(18)	2069653556247057379	0 18 22 40 70 78 82 84 100 102 118 120 124 132 162 180 184 202	-1205636729728
STPT(10)	2069653744947511241	0 2 36 38 78 80 120 122 156 158	-1016936275866
STPT(10)	2069654043570907889	0 2 18 20 30 32 42 44 60 62	-718312879218
SPT(16)	2069654147123982569	0 2 8 30 38 72 80 104 108 132 140 174 182 204 210 212	-614759804538
SPT(16)	2069654195392312381	0 48 90 100 136 156 168 202 216 250 262 282 318 328 370 418	-566491474726
SPT(16)	2069655108966315067	0 16 30 64 84 94 156 172 204 220 282 292 312 346 360 376	347082527960
STPT(10)	2069655241198588409	0 2 42 44 60 62 78 80 120 122	479314801302
STPT(12)	2069655324855638081	0 2 48 50 78 80 210 212 240 242 288 290	562971850974
SPT(16)	2069655847979686289	0 24 30 32 114 134 204 218 234 248 318 338 420 422 428 452	1086095899182
SPT(16)	2069655874264449181	0 16 42 60 72 102 130 166 216 252 280 310 322 340 366 382	1112380662074