Prime p₀= 2119186490364328709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: gemini8
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2119184846009135519	0 2 18 20 30 32 42 44 60 62	-1644355193190
SPT(16)	2119185065467545391	0 46 96 106 108 130 148 162 196 210 228 250 252 262 312 358	-1424896783318
SPT(16)	2119185372822195823	0 40 46 48 138 144 150 190 234 274 280 286 376 378 384 424	-1117542132886
SPT(16)	2119185822909729961	0 22 46 48 76 106 132 168 220 256 282 312 340 342 366 388	-667454598748
SPT(16)	2119185838212320021	0 8 20 26 92 96 152 212 306 366 422 426 492 498 510 518	-652152008688
SPT(16)	2119186331848601179	0 48 108 112 198 360 372 418 444 490 502 664 750 754 814 862	-158515727530
STPT(10)	2119186520171168429	0 2 42 44 60 62 78 80 120 122	29806839720
TPT(14)	2119186624868182781	0 2 18 20 36 38 60 62 246 248 288 290 300 302	134503854072
STPT(12)	2119186690602076439	0 2 12 14 42 44 78 80 108 110 120 122	200237747730
STPT(10)	2119187255535619847	0 2 30 32 42 44 54 56 84 86	765171291138
STPT(10)	2119187478756449537	0 2 42 44 72 74 102 104 144 146	988392120828