Prime p₀= 996795981138632999 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 40 2 40 2 16 2 (?)
a_n: 0 2 18 20 60 62 102 104 120 122
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: stoneageman
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	996794495150013601	0 6 30 40 48 52 60 132 136 208 216 220 228 238 262 268	-1485988619398
SPT(16)	996794565864518101	0 18 28 30 46 58 76 102 256 282 300 312 328 330 340 358	-1415274114898
STPT(10)	996794697361112561	0 2 6 8 18 20 30 32 36 38	-1283777520438
SPT(16)	996794991481714417	0 12 16 46 54 76 82 100 156 174 180 202 210 240 244 256	-989656918582
TPT(14)	996795570811425389	0 2 30 32 90 92 180 182 210 212 240 242 300 302	-410327207610
STPT(10)	996795845514004727	0 2 42 44 72 74 102 104 144 146	-135624628272
SPT(16)	996796108843895117	0 20 90 104 114 132 134 150 224 240 242 260 270 284 354 374	127705262118
SPT(16)	996796491380087611	0 16 36 42 48 72 96 136 222 262 286 310 316 322 342 358	510241454612
STPT(10)	996796582389379097	0 2 60 62 72 74 84 86 144 146	601250746098
STPT(10)	996796647273378311	0 2 6 8 48 50 90 92 96 98	666134745312
STPT(10)	996797205962436467	0 2 30 32 42 44 54 56 84 86	1224823803468