Prime p₀= 3022237948683043787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: Rantanplan
db: batch=82, k=10, 2 10 2 58 2

TPT(14)	3022236636353397959	0 2 42 44 108 110 150 152 348 350 402 404 420 422	-1312329645828
STPT(10)	3022237082328594197	0 2 12 14 72 74 132 134 144 146	-866354449590
STPT(10)	3022237177959327407	0 2 60 62 102 104 144 146 204 206	-770723716380
SPT(16)	3022237696128866549	0 20 32 38 50 74 78 90 152 164 168 192 204 210 222 242	-252554177238
SPT(16)	3022237765668079733	0 14 20 24 80 84 110 164 210 264 290 294 350 354 360 374	-183014964054
STPT(10)	3022237812170998409	0 2 18 20 30 32 42 44 60 62	-136512045378
SPT(16)	3022238034755977867	0 30 46 82 90 130 216 280 396 460 546 586 594 630 646 676	86072934080
STPT(10)	3022238285152981637	0 2 30 32 42 44 54 56 84 86	336469937850
STPT(10)	3022238348911689041	0 2 36 38 78 80 120 122 156 158	400228645254
STPT(10)	3022239490412387429	0 2 18 20 30 32 42 44 60 62	1541729343642
SPT(16)	3022239635944713307	0 40 54 82 162 166 184 226 270 312 330 334 414 442 456 496	1687261669520