Prime p₀= 1124782950765698039 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 16 2 16 2 10 2 (?)
a_n: 0 2 12 14 30 32 48 50 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: crashtech
db: batch=76, k=10, 2 10 2 16 2

STPT(10)	1124782156855390289	0 2 12 14 90 92 168 170 180 182	-793910307750
SPT(18)	1124782250635532477	0 30 66 72 84 114 126 140 146 150 156 170 182 212 224 230 266 296	-700130165562
SPT(16)	1124782262138755261	0 10 52 126 186 192 226 250 282 306 340 346 406 480 522 532	-688626942778
STPT(10)	1124782554477072089	0 2 18 20 30 32 42 44 60 62	-396288625950
TPT(14)	1124782700638398407	0 2 12 14 60 62 90 92 114 116 144 146 282 284	-250127299632
STPT(10)	1124782895286400421	0 2 36 38 78 80 120 122 156 158	-55479297618
STPT(10)	1124783086068622061	0 2 6 8 48 50 90 92 96 98	135302924022
STPT(10)	1124783159235356417	0 2 30 32 42 44 54 56 84 86	208469658378
STPT(10)	1124783652831900179	0 2 18 20 30 32 42 44 60 62	702066202140
SPT(16)	1124783859690345761	0 2 48 56 60 62 110 126 242 258 306 308 312 320 366 368	908924647722
SPT(16)	1124783965852244639	0 50 78 84 90 162 174 182 300 308 320 392 398 404 432 482	1015086546600