Prime p₀= 2221334007259827527 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 10 2 28 2

SPT(16)	2221332252191614603	0 46 60 88 96 118 166 228 328 390 438 460 468 496 510 556	-1755068212924
STPT(10)	2221332252673337117	0 2 12 14 42 44 72 74 84 86	-1754586490410
STPT(10)	2221333231724159207	0 2 12 14 72 74 132 134 144 146	-775535668320
SPT(16)	2221333265369644873	0 28 40 54 96 130 156 196 198 238 264 298 340 354 366 394	-741890182654
TPT(14)	2221333698797810237	0 2 90 92 114 116 132 134 144 146 180 182 210 212	-308462017290
STPT(10)	2221333799991282341	0 2 30 32 78 80 126 128 156 158	-207268545186
STPT(10)	2221334188879210961	0 2 6 8 48 50 90 92 96 98	181619383434
STPT(10)	2221334338672910429	0 2 48 50 90 92 132 134 180 182	331413082902
SPT(16)	2221334623956242617	0 96 102 106 166 190 196 232 270 306 312 336 396 400 406 502	616696415090
SPT(16)	2221335573177468821	0 36 38 78 86 98 108 110 138 140 150 162 170 210 212 248	1565917641294
STPT(10)	2221335763987493519	0 2 42 44 60 62 78 80 120 122	1756727665992