Prime p₀= 1412176985591657807 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: emoga
db: batch=78, k=10, 2 28 2 10 2

STPT(10)	1412175459958461557	0 2 60 62 72 74 84 86 144 146	-1525633196250
SPT(16)	1412175586326666067	0 4 22 34 64 84 112 124 162 174 202 222 252 264 282 286	-1399264991740
STPT(10)	1412176262749486049	0 2 12 14 90 92 168 170 180 182	-722842171758
TPT(14)	1412176386130594919	0 2 48 50 198 200 240 242 300 302 312 314 330 332	-599461062888
TPT(14)	1412176478222487827	0 2 12 14 54 56 132 134 150 152 180 182 234 236	-507369169980
SPT(16)	1412176748947810501	0 6 10 28 42 78 88 106 192 210 220 256 270 288 292 298	-236643847306
SPT(16)	1412177059871580337	0 30 34 40 54 90 114 132 202 220 244 280 294 300 304 334	74279922530
SPT(16)	1412177386934175401	0 50 72 96 122 138 152 210 278 336 350 366 392 416 438 488	401342517594
STPT(10)	1412177469306032249	0 2 18 20 30 32 42 44 60 62	483714374442
STPT(10)	1412177533312380587	0 2 30 32 42 44 54 56 84 86	547720722780
STPT(10)	1412177585961230981	0 2 6 8 48 50 90 92 96 98	600369573174