Prime p₀= 1028079591258579029 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: Theadalus
db: batch=76, k=10, 2 16 2 40 2

SPT(16)	1028079007474434931	0 12 22 78 126 156 190 198 400 408 442 472 520 576 586 598	-583784144098
STPT(10)	1028079015928373579	0 2 42 44 60 62 78 80 120 122	-575330205450
STPT(10)	1028079307082542457	0 2 12 14 42 44 72 74 84 86	-284176036572
SPT(16)	1028079311048023681	0 10 16 18 52 72 82 96 142 156 166 186 220 222 228 238	-280210555348
STPT(10)	1028079404937885329	0 2 78 80 120 122 162 164 240 242	-186320693700
STPT(10)	1028079555923178257	0 2 30 32 72 74 114 116 144 146	-35335400772
SPT(16)	1028079647547915769	0 4 72 102 112 118 148 174 478 504 534 540 550 580 648 652	56289336740
SPT(16)	1028079888577186891	0 28 36 52 66 76 112 130 168 186 222 232 246 262 270 298	297318607862
STPT(10)	1028080082282402921	0 2 36 38 78 80 120 122 156 158	491023823892
STPT(10)	1028080086135687887	0 2 30 32 42 44 54 56 84 86	494877108858
TPT(14)	1028080468405371107	0 2 24 26 42 44 84 86 102 104 180 182 192 194	877146792078