Prime p₀= 342427096780203707 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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=70, k=10, 2 22 2 16 2

TPT(12)	342427013630605859	0 2 18 20 48 50 102 104 132 134 168 170	-83149597848
SPT(14)	342427015482695071	0 42 60 66 106 118 132 316 330 342 382 388 406 448	-81297508636
TPT(12)	342427039641584717	0 2 30 32 72 74 84 86 120 122 150 152	-57138618990
SPT(14)	342427061158658081	0 48 50 56 72 78 102 116 140 146 162 168 170 218	-35621545626
SPT(14)	342427075957313239	0 22 34 58 142 154 204 208 258 270 354 378 390 412	-20822890468
SPT(14)	342427088606149271	0 8 18 26 48 96 170 186 260 308 330 338 348 356	-8174054436
SPT(14)	342427097822073703	0 48 54 64 84 90 108 136 154 160 180 190 196 244	1041869996
SPT(16)	342427101316994191	0 10 18 28 60 70 72 88 120 136 138 148 180 190 198 208	4536790484
TPT(12)	342427108278199067	0 2 12 14 54 56 90 92 102 104 132 134	11497995360
SPT(14)	342427120150040567	0 6 14 26 42 54 66 80 92 104 120 132 140 146	23369836860
SPT(14)	342427124223842041	0 18 46 82 96 118 238 270 390 412 426 462 490 508	27443638334